The shadow of a vertical tower is 52.5 meters long when the angle of elevation of the sun is x degrees. The height of the tower is 41 meters. Find the angle of elevation rounded to the nearest degree.

Answers

Answer 1

Answer:

Angle of Elevation = 38°

Step-by-step explanation:

Angle of Elevation formula is given as

tan x = Opposite /Adjacent

Where

x = Angle of Elevation

Opposite = Height of the tower = 41 meters

Adjacent = Shadow of the vertical tower = 52.5 meters

Hence:

tan x = 41 m/52.5m

x = arc tan (41 m/52.5m)

x = 37.988141726°

Approximately to the nearest degree x = 38°


Related Questions

Which ordered pair is a solution of the equation?
52 - 2y = 18

Answers

Answer: y=17

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

52−2y=18

52+−2y=18

−2y+52=18

Step 2: Subtract 52 from both sides.

−2y+52−52=18−52

−2y=−34

Step 3: Divide both sides by -2.

−2y

−2

=

−34

−2

y=17

What is 6.7% written as a decimal ?

Answers

Answer:

0.067

Step-by-step explanation:

Divide any percentage by 100 to get the decimal form.

6.7÷100=0.067

Answer:

0.067

Step-by-step explanation:

You move the decimal two places to the left when converting percents to decimals.

6.7-->0.067

Is the relation a function or no function?

Answers

Answer: I think is a function

Step-by-step explanation:

No function because the numbers are not independent nor dependent on each other

Question Down below.

Answers

Answer:

there equal

Step-by-step explanation:

the absolute value of 3 is 3

and the absolute value of -3 is 3

hope this helps

let me know if you need help with anymore

Have a great day!

what is the decimal expansion of the following fraction 1/25

Answers

Answer:

0.04

Step-by-step explanation:

help asap!!!! Thanks​

Answers

Answer:

just multiply it by 2 meaning the 11,600 multiply by 2

A group of friends spent 1, 0, 2, 3, 4, 3, 6, 1, 0, 1, 2, and 2 hours online last night. What are the 1st and 3rd quartiles for this set of data?

Answers

1 and 3 i just did the math tell me if i’m wrong

Select an expression equal to 6(4q + 8r)​

Answers

Answer: B: 24q+48r

Step-by-step explanation: 6(4q+8r)

=(6)(4q+8r)

=(6)(4q)+(6)(8r)

=24q+48r

 

At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

Answers

Answer:

$24.7875

Step-by-step explanation:

Step one:

given data

your bill before taxes and tip is $19.83

6% sales tax

tip equal to 19% of the original amount.

Required

The total expenses

Step two:

let the total expenses be y

let us calculate the cost of  tax and the tip

Tax

=6/100*19.83

=0.06*19.83

=$1.1898

Tip

=19/100*19.83

=0.19*19.83

=$3.7677

Total

Y= 19.83 +1.1898 +3.7677

Y= $24.7875

Can somebody plz help answer these questions (only if u know them)
Thanks so much!! :D

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST:DD

Answers

Answer:

22=90 23=15 24=60 25=0.75 26=70 37=$0.58

Step-by-step explanation:

22. So, we can divide 360 kmh by 4 hours

so 360/4 =90

So 90 kmh in 1 hr

23

So, we can divide 3 packages by $15

so 15÷3 = $5

So $5 per package

24  So, we can divide 720 m by 12s

So, 720/12= 60

60 m in 1 s

25

So, we can divide $4.50 by 6

So, we get $0.75

26

So, we can divide 210 words by 3 min

So, 210÷3=70

70 words per minute

27

So, we can divide 23.20 by 40l

So, 23.20÷40 = 0.58

$0.58

Combine like terms to simplify the expression:
-5.55-8.55c+4.35c

Answers

Answer:

Step-by-step explanation:

so your weights about 500 pounds thats pretty big. take her to a doctor .

heres a doctor i know

Stephanie has a recipe that calls for 2/3 tablespoon of vanilla to make 3 1/2 dozen cookies. How many tablespoon of vanilla are needed per dozen cookies.​

Answers

4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens

35,56,34,44,52,12,34,45
Mean-
Median-
Mode-
Range-

Answers

Answer:

Mean: 39

Median: 39.5

Mode: 34

Range: 44

Step-by-step explanation:

Betty runs three times around a rectangular field that is 500m wide and 800m long. How many Kilometers did she run?​

Answers

Answer:

Perimeter of rectangular

Step-by-step explanation:

(500+800)*2*3=7800 m = 7,8 km

Cheney twelve less marbles than rowan write an expression that shows how many marbles rowman has in relation in cheney

Answers

Answer:

y= x+12

Step-by-step explanation:

Y is the number of marbles that Rowan has, and X is the number of marbles Cheney has.

Which of the following is an arithmetic sequence?
A 0,3, 8, 15, 24, 35, -..
B. 9, 4, -1, -6, -11, -16,
C. 1, 3, 6, 10, 15, 21,
D. -1, 0, 1, 0, 3, 0, ...

Answers

b

Step-by-step explanation: i don know

It would be (D) because an arithmetic sequence is the difference between one term and the next is a constant.

Evaluate the expression x - 7, if x = 12.
19
6
17
5

Answers

Answer:

5 it's a bit easy ig

Step-by-step explanation:

12-7=5

good day.

:)

Solve the following system of equations by substitution. Make sure to check your solution. x + y = 5 3x - y = -5

Answers

First pick one that turns out to be a positive or negative

Answer:

(0.5)

Step-by-step explanation:

x + y = 5

3x - y = -5

Put "y" on one side to isolate

3x - y = -5

3x = y - 5

3x + 5 = y

Plug "3x + 5" in for "y" in the second equation

x + (3x + 5) = 5

4x + 5 = 5

4x = 0

x = 0

Plug  "0" in for "x" in any one of the equations

0 + y = 5

y = 5

To check, plug in "0" for "x" into the first equation and make sure they get the same answers

3(0) - y = -5

0 - y = -5

y = 5

What could be the answer? ​

Answers

I have no idea but yeah

Answer:

D = 1 8.87961173

Round off to the whole number

D= 19m

Explanation of results

So to find d you will use the trigonometry formula

So you are given the

Degree which is 39°

and the hypotenuse which is 30m

Using the sin θ = Opposite Side/Hypotenuse you are going to put in the numbers where they should go in the formula so,

[tex] \sin(39) = \frac{d}{30} [/tex]

then you are going to isolate d on the right by multiplying 30 on both sides.

It will look like

30 Sin 39

So, just put this in the calculator

15:2 = x : 3 . Find x

Answers

Step-by-step explanation:

15/2=x/3

15×3/2=x

45/2=x

22.5=x

Answer:

22.5

Step-by-step explanation:

First find out the ratio x : 1

2 / 2 = 1

15 /2 = 7.5

Now you have this ratio

7.5 : 1

Now times each value by 3 to get the answer :

22.5 : 3

x = 22.5

hope this helps :)

Explain what a markdown is.

Answers

Answer:

Basically a reduction in price

Step-by-step explanation:

In finance, a markdown is a reduction in the price and value of an asset. ... Markdowns are designed to increase sales, so they usually occur when a business cannot sell a product at its current price. By reducing the price, a markdown makes a good or service more desirable for customers.

A markdown is a devaluation of a product based upon its inability to be sold.

If Mrs. Maiers buys 24 stickers, is the cost of each sticker more than or less than $0.50? Select all statements that are correct

Answers

I think its 9 but can u put the full question

Answer:

C and E

Step-by-step explanation:

The length of a rectangle is five inches less than three times its width. If the perimeter
of the rectangle is 150 inches, find the dimensions.

L=40 in. ; W=35 in.
L=60 in. ; W=45 in.
L=50 in. ; W=25 in.
L=55 in. ; W=20 in.

Answers

Answer:

L = 55 in, W = 20 in

Step-by-step explanation:

Hi there!

First we have to set up an equation for the length, which can be written as 3x - 5.

The formula for perimeter of a rectangle is 2l + 2w = p, so we can plug in some values here.

l = 3x - 5

w = x

[tex]2(3x-5) + 2(x) = 150[/tex]

Now we just have to solve!

[tex]6x - 10 + 2x = 150[/tex]

When we combine like terms and add ten to both sides, we are left with

[tex]8x = 160[/tex], which means x = 20

Using this, that means the width is 20

We can find the perimeter by plugging 20 in for x. [tex]l = 3(20) -5[/tex]

This means the length is 55.

Simplify -6(-4x + 8y)

Answers

Answer:

24x - 48y

Step-by-step explanation:

f ( x ) = x/3 -2 f (42 )

Answers

Answer:

f(42) = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = x/3 - 2

f(42) is x = 42

Step 2: Evaluate

Substitute in x:                    f(42) = 42/3 - 2Divide:                                 f(42) = 14 - 2Subtract:                              f(42) = 12

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.

–6
–1
1
6

Answers

First, we need to find the slope:
m=rise/run OR

m=(2+2)/(-6-2)
m=4/-8
m=-1/2

second we need to find the equation for the line using point-slope form:


y-(-2)=-(1/2)(x-2)



to find "a" we plug in the given y value and solve for x (in this case x=a):






so, a=6 and the point becomes (6,-4)

Answer:

the answer is option 4: 6

Step-by-step explanation:

Dylan gets his pictures developed at photo-phast. photo phast uses the equation c=$0.15 • p to calculate the cost, C , of p photographs. Anne gets her pics developed at Quick-pix. Quick Pix uses the equation C=$0.10 • p+ $1.20 to calculate their charges. Dylan and Anne paid the same amount of money for their pictures. How many pictures did they get developed ​

Answers

Answer:

Y68 sorry

Step-by-step explanation:

need help i can’t remember this !

Answers

i think the answer is d but i’m not sure

1-4csc^2x
How to factor?

Answers

Answer:

-4csx + 1

Explanation:

Answer:

(1+2cscx)(1-2cscx)

Step-by-step explanation:

give the other person brainliest lol

Dan invests £6800 into his bank account. He receives 5% per year compound interest. How much will Dan have after six years? Give your answer to the nearest penny where appropriate

Answers

Answer:

£6800 times (1.05)to the power of 6

=£9112.65

Step-by-step explanation:

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