The angle of elevation of the top of a
tower from the top and foot of a pole of
height 10 m are 30° and 60°. Then the
height of the tower is

Answers

Answer 1

Answer:

15 m

explanation:

Let AB and CD be the pole and tower respectively. Let CD=h Then ∠DAC=60 ∘ and∠DBE=30 ∘ Now CA CD ​ =tan60 ∘ = 3 ​ ∴CD= 3 ​ CA⇒ 3 ​ h ​ =CA Again BE DE ​ =tan30 ∘ = 3 ​ h ​ ∴(h−10)= 3 ​ BE ​ = 3 ​ CA ​ ...[∵BE=CA] = 3 ​ h/ 3 ​ ​ = 3 h ​ ⇒3h−30=h⇒2h=30⇒h=15

Hence, height of the power =15 m


Related Questions

Solve for t. 50= − 10 t + 80

Answers

The answer is t= 3 !!!
50= - 10t+80
We move all terms to the left:
50 - ( -10t+80) =0
Get rid of the parentheses
10t - 80+50=0
We add all the numbers together, and all the variables
10+ - 30=0
We move all the terms containing t to the left, all the other terms to the right
10t = 30
t = 30/10
t = 3

((8y-3x)/(4))/(4)-(-7+5x)/(3)

Answers

Let's simplify step-by-step

8y-3x/4/4 -(-7+5x/3)

Distribute:

=-3/16 x +1/2 y+-5/3 x+7/3

Combine like terms:

=-3/16x+1/2 y +-5/3x+7/3

=(-3/16x+-5/3x)+(1/2y)+(7/3)

=-89/48x +1/2y+7/3

Answer: -89/48x+1/2y+7/3

If I got a 60 on a test , and I have a 92 in that class , what will my grade be ? (please answer i am stressing so much I might get gray hairs)

Answers

Answer:

There's no way to answer this question 100% accurately, because we don't know your teacher's grading scale, or how much tests and quizzes are weighted for your grade in the class. That being said, one test shouldn't bring your grade down too much. As the year goes on, and more assignments are put in the gradebook, it will even out. If you get a 100 percent on 3 tests, and a 60 percent on one test, it evens out to a 90 percent.

If you need more help, type in "Rogerhub grade calculator." It's a website that is very helpful in calculating your grade for the year. Hope this helps! :)

I forgot how to divide fractions properly. please send help.

Answers

Answer:

2.5 or 10/4

Step-by-step explanation:

2÷4/5  

Integers can be fractions. Which are just the summation of equal parts. So integers can be written in any fractional form as you like,

2/1÷4/5

But turning your fraction into an integer is not enough to divide, you must first use the reciprocal form of your dividend. and then you multiply to obtain your answer. (The reason is that division is multiplication of the reciprocal)

2/1×5/4

And tadaa! you get your answer

10/4

You can also simplify it!

5/2

I need help fast ! What is the slope of y=-x+7 ​

Answers

Answer:

-1 this equation is in slope intercept for y=mx+b. the slope is variable m, which in this case is -1. the one is always invisible in front of variable


[tex] \sqrt{64 \: } [/tex]
the square root​

Answers

Answer: 8

The square root of 64 is 8
The answer is: 8. Have a good day

write the equation of the line parallel to 2x - 3y = 0 and passes through the point (5, 4).​

Answers

Answer:

2x - 3y = 2

Step-by-step explanation:

Parallel lines have same slope

Given line, in slope intercept form

2x - 3y = 03y = 2xy = 2/3x

Parallel line is

y = 2/3x + b

Using point (5, 4) to find b

4 = 2/3*5 + bb = 12/3 - 10/3b = 2/3

y = 2/3x + 2/3 in slope-intercept form or

2x - 3y = 2 in standard form

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?

Answers

Answer:

48/3 or 16/1

Step-by-step explanation:

Answer:

48/3

Step-by-step explanation:

A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Ipads. They already have 23 white, 16 black and 22 grey Ipads. If the store is receiving 5 boxes, how
many of each color Ipad will they have?

Answers

Answer:

142 Grey, 83 white, 76 black

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

Two shelters offers dog adoption twice a year ruff had 123 dogs adoption in january 196 fogs adoption in July barks had 78 dogs adoption in January and 135 adoption in July estimates the difference in the number of dogs adoption at each shelter that year

Answers

Answer:

106

Step-by-step explanation:

ruff

123 dogs adoption in january

196 dogs adoption in July

Total adoption for the year = 123 + 196

= 319 adoptions

barks

78 dogs adoption in January

135 adoption in July

Total s like adoption for the year = 78 + 135

= 213 adoptions

Difference in the number of dogs adoption at each shelter that year

= Ruff total adoption for the year - Bark's total adoption for the year

= 319 adoptions - 213 adoptions

= 106

The difference in the number of dogs adoption at each shelter that year is 106

Which expression can represent 70% of x?


3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)

3 (StartFraction x Over 4 EndFraction) minus (StartFraction x Over 10 EndFraction)

(StartFraction x Over 2 EndFraction) + (StartFraction x Over 10 EndFraction)

(StartFraction x Over 2 EndFraction) + one-half (StartFraction x Over 4 EndFraction)

NVM THE ANSWER WAS
3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)

Answers

Answer:

The answer is Dun Dun Duuun 3 {x/4} - 1/2{x/10}

The expression equivalent to 70% of x is,

⇒ 3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)

⇒ 3 (x/4) - 1/2 (x/10)

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

The expression is,

⇒ 70% of x

Now, We an simplify the expression as;

⇒ 70% of x

⇒ 70/100 × x

⇒ 70x/100

⇒ 7x/10

By option 1;

⇒ 3 (x/4) - 1/2 (x/10)

⇒ 3x/4 - x/20

⇒ (60x - 4x) / 80

⇒ 56x / 80

⇒ 7x/10

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Does anyone know this answer 7/2 x 6/7 thats one question second question is 1/7 x 5/2? help :(

Answers

Answer:

First one is 3 and second is 5/14

Step-by-step explanation:

Answer:

first is 14/12 simply it will be 2/2 witch cost it to be a whole number so it will become 1. and the other on is 2/35 agian simply it will be 2/5.

Step-by-step explanation:

9x - 4y
if x = -7 and y= -6

Answers

Answer:

-39

Step-by-step explanation:

Plug in -7 for x and -6 for y into given equation and evaluate.

7 is a solution to the equation 3n + 9 = 33.
The sum of negative five plus three times a number equals twenty-eight.

The sum of three and a number times negative five gives twenty-eight.

The product of three times a number equals twenty-eight.

The product of negative three and a number plus five equals twenty-eight.
??????

Answers

Answer:

Step-by-step explanation:

1. 7 is not the solution of 3n+9 because if you do 7*3 and add 9 you will get 30.

2.

  -5+3n=28

-5+5+3n= 28+5

         3n=33

            n= 11  

3. 3n= 28

     n= 28/3 or 9.333333

4. -3+n+5=28

          n+2= 28

       n+2-2= 28-2

                n= 26  

Answer:

it's d

Step-by-step explanation:

i got it right and the pic above :)

Rachel and four friends were going to the movies. Each ticket cost $11 and then they bought 2 popcorns at $3.75 each, and they each bought their own soda at $2.75 each. How much money did they spend total for their trip to the movies? If they decide to split the bill, how much will they each pay?

Answers

Answer:

Total amount spent [tex]=\$73.5[/tex]

If they decide to split the bill, amount paid by each of the person  [tex]=\$15.25[/tex]

Step-by-step explanation:

Cost of each movie ticket = $11

Cost of 5 tickets = 5(11)= 55

Cost of each packet of popcorns = $3.75

Cost of two packets of popcorns = $2(3.75) = $7.5

Cost of each soda = $2.75

Cost of five sodas = $5(2.75) = $13.75

Total number of persons (Rachel and four friends) = 5

Total amount spent [tex]=11(5)+2(3.75)+5(2.75)=55+7.5+13.75=\$76.25[/tex]

If they decide to split the bill, amount paid by each of the person = [tex]\frac{76.25}{5}=\$15.25[/tex]

Ted's Bikes rents bikes for $15 plus $3 per
hour. Carlos paid $30 to rent a bike. For
how many hours did he rent the bike?

Answers

Answer:

Let he rent bike for x hours

then

15 + 3*x = 30

3x= 15

x= 15/3 = 5 hours

Step-by-step explanation:


who is the president of USA ​

Answers

Answer:

Donald trump is the president

Answer:

donald trump at the time but soon it will change

Step-by-step explanation:

5/12 divided by 7/8 Plz help!!!!!!!

Answers

Answer:

10/21

Step-by-step explanation:

Which of the following expressions is equivalent to
8(2x + 7)?
(1) 10x+15
(3) 16x+7
(2) 10x+7
(4) 16x +56

Answers

Answer:the answer is 34

Step-by-step explanation:

Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?

-3mn^3 - 4n^4 + 2mn - 6n - 5mn^3 - 6m^3n

Answers

Answer:

-3mn^3 and -5mn^3

Step-by-step explanation:

had it correct on my test - PLATO

Marcus  has to add -3mn^3 and -5mn^3 to complete the polynomial.

Marcus is rewriting a polynomial by combining like terms

What is polynomial?

Polynomial equation is equation of independent variables.

Here, questions seems to be incomplete.
In polynomial, it can be of maximum endless number of term or minimum 1 term. Marcus can add any number or repeat any number. And if he revised the old number than the number could be -3mn^3 and -5mn^3.

Thus, Marcus  has to add -3mn^3 and -5mn^3 to complete the polynomial.

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Zoe and Hannah share tips in the ratio 3:7 last week Zoe received £24 how much did Hannah receive last week

Answers

[tex]\huge\pink{ƛƝƧƜЄƦ}[/tex]

Z = 24

H / Z = 7 / 3

H / 24 = 7 / 3

H = 7 * 24/3

H = 7 * 8

H = 56

Hannah receives 56 dollars.

So,

H / Z = 56 / 24 = 7 / 3 ;; with the smart 1 = 8/8.

Answer:

£16,80

Step-by-step explanation:

3:7

3+7=10

Hannah=7/10×24

7×24=168

168÷10

16,8

£ 16,80

PLEASE HELP HELP. I don’t get the 8 and 9

Answers

Answer: y=8 m=5

Step-by-step explanation:

Answer:

1. 3.125

2. 4.5

Step-by-step explanation:

1. Since the figures are similar, the number you divide from one triangle to the other is the same, no matter the side length. 5(x) = 8 so 5/x = y. If x = 1.6, then y equals 3.125.

2. The same thing here. 4/x = 3 and 6/x = m. In the first equation x would be 1 1 1/3. 6/ 1 1/3 is the same as 6 x 3/4 which is 18/4 or 4.5.

What are the coefficients in the following expression? -6y + 4- 7-8

please help!! this is for an assessment

Answers

Answer:

11/6 I think

Step-by-step explanation:

Welp that's all that came when I get the answer

what is the slope of ( 3,1 ) and ( 6,4 )​

Answers

Answer:

The slope of the line would be 1

(4-1)/(6-3)= 1

Yeah he is right man

what's the distance between (-9,2) and (5,-4)?

Answers

Answer: Exact Form: d= 2√58

Decimal Form: 15.23154621...

Step-by-step explanation:

Distance formula: d=√(x2-x1)^2 + (y2-y1)^2

d=√(5- -9)^2 + (-4 - 2)^2

Exact Form: d= 2√58

Decimal Form: 15.23154621...

The distance between two points (-9,2) and (5,-4) is 15.23 units.

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

We have to determine the distance between (-9,2) and (5,-4)

As per the question, substitute the known values in the formula,

d = √ {(-9 – 5)² + (2 – (-4))²}

d = √ {(-14)² + (6)²}

d = √ {196 + 36}

d = √232

d ≈ 15.23

Thus, the distance between the given two points is 15.23 units.

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Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables

Answers

Given:

After driving for 20 minutes, Juan was 62 miles away from his apartment.

After driving for 32 minutes Juan was only 38 miles away.

The time driving and the distance away from his apartment form a linear relationship.

To find:

The independent and dependent variables.

Solution:

If the value of a variable depends on the another, then it is called dependent variables.

If the value of a variable does not depend on the another, then it is called independent variables.

In the given problem, the distance of Juan from his apartment depends on the time he drove. So,

Dependent variable = Distance of Juan from his apartment in miles.

Independent variable = Time he drove

Find the mesure of the missing angle

Answers

Answer:

c=68 and b=112

Step-by-step explanation:

Need answer now

The range of a relation is


A. the output (y) values of the relation


B. the input (x) values of the relation


C. a set of points that pair input values with output values


D. x and y values written in the form (x, y)

Answers

A.

Step-by-step explanation:

Range of a function is the value that we get when a function is solved.

Say, f(x) = y.

We say this "set of x is domain" whereas "set of y is range".

Suppose,

set A = {1,2} & set B = {1,2,3} & f(x) = y

Let,

f(1) = 1, & f(2) = 2.

What we get is that there is no x for 3.

We say this fact by "set A is domain" & "set B is co domain" & set {1,2} (output) is range.

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ... Then find the next term.

Answers

Answer:

answer is b

Step-by-step explanation:

The next term is :  an=an-1+2= a1 8; 18

Based on the information given 2 is added ton each sequence

Sequence:

8+2=10

10+2=12

12+2=14

14+2=16

The next term will be:

16+2=8

Inconclusion The next term is an=an-1+2= a1 8; 18

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a. 64
b.4
c.8
d.23
[ I NEED HELP :(( ]​

Answers

You can find this by using the pythagorean theorem.

The Pythagorean Theorem states that the squares of the legs add up to the square of the hypotenuse.

The hypotenuse is the longest side, which is opposite the right angle.

The other 2 sides are the legs.

Here, the hypotenuse is BC which is 17.

AC is one leg. We are trying to find the other leg.

So you set up the equation AB^2+ 15^2 = 17^2.

This simplifies to AB^2 + 225 = 289.

AB^2 = 64.

AB = 8.

C is your answer.

AC^2+AB^2=BC^2


15^2+AB^2=17^2


AB^2=17^2-15^2


AB^2=8^2


AB=8
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