when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow? ​

Answers

Answer 1

Answer:

28.9 m

Step-by-step explanation:

First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.

We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that

cos(x) = adjacent / hypotenuse

cos(78°) = 6 / hypotenuse

divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse

hypotenuse = 6/cos(78°) ≈ 28.9 m

When The Angle Of Elevation Of The Sun Is 78 Degrees, An Statue Casts A Shadow That Is 6m Long. How Far

Related Questions

To make a certain shade of paint, Anya mixed 2/3
cups of white paint with 2 and 2/3
cups of blue paint.

How many cups of blue paint should she mix with 3/4
cups of white paint to make the same shade?

Answers

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

If x is equal to 9 and y is equal to -3, then what is the value of…….? x - 9y - 3x + 6y -13?

Answers

We are given –

x =9 y = -3

Now put the values

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]

Henceforth, value of x - 9y - 3x + 6y -13 is -22.

________________________________________

Answer:

Value of x - 9y - 3x + 6y -13 is -22 .

Step-by-step explanation:

In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,

We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .

[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]

So , Substituting the values of x and y ,

[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]

Now , calculating the values ,

[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]

[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]

[tex] \longmapsto \: 9 - 31[/tex]

[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]

Therefore , value of given expression that is x - 9y - 3x + 6y -13 is -22 .

#Keep Learning

1/2 of a bowl of cereal is divided equally between 4 bowls. how much cereal is in each bowl

Answers

Answer:

1/16 of the cereal is in each bowl

Step-by-step explanation:

Answer:

1/8  

Step-by-step explanation:

1/2 / 4

= 1/2 * 1/4

= 1/8.

Divide: (3x³+4x+11)/(x²-3x+2)​

Answers

In attachment I have answered this problem.

(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857​

Answers

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card

Answers

Answer:

Amt(c) = $50 - ($3.25/coffee)c

c = 12

Step-by-step explanation:

An equation to represent his total amount left a after c coffees are purchased

would be  Amt(c) = $50 - ($3.25/coffee)c

and if he has $11 left, then $11 = $50 - ($3.25/coffee)c

or -$39 = -($3.25/coffee)c.

Dividing both sides by -$3.25, we get c = 12

ITS DUE TMRW!! PLS HELP


What is the value of x in the solution to this system of equations?


5x − 5y = 120


y= −7x + 8


Enter your answer in the box.

Answers

Answer:

x  =  24  +  y

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

Step-by-step explanation:

5x − 5y = 120

y= −7x + 8

Use the second equation in the first (eliminates y)

5x − 5(−7x + 8) = 120

5x (+35x -40) = 120

40x -40 = 120

40x = 160

x = 4

----

If x = 4:

y= −7x + 8

y= −7*(4) + 8

y= -28 + 8

y = -20

====

The solution is (4,-20)

On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 914.25 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

can someone tell me if i did this right lol

Answers

Answer:

Your calculation is correct, but I'd answer 33.0 in.

Step-by-step explanation:

You are correct. Good job.

Answer:

I'm 96% sure its right, and those are pretty good odds ^^

Given the function f(x) = √x. If the function is shifted right 2 units, then shifted down 1.5 units and reflected about the x-axis, what is the equation of the new function?

Answers

Answer:

f(x) = -√(x-2) + 1.5.

Step-by-step explanation:

y = √x

2 units to right:

y = √(x-2)

1.5 down:

y = √(x-2) - 1.5

Reflect about x-axis

y = -(√(x-2) - 1.5)

y = -√(x-2) + 1.5.

What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?

Answers

Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total

tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How

many total tickets would someone get if they purchased a adult tickets and k kids

tickets?

Total tickets, 2 adult tickets and 16 kids tickets:

Total tickets, a adult tickets and k kids tickets:

Answers

Answer:

18a+k

Step-by-step explanation:

The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.

  Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18

  Total tickets, a adult tickets and k kids tickets: a +k

_____

Additional comment

The total price is a different matter:

  $12(2) +$7(16) = $136 . . . for 2 adult and 16 kids

  12a +7k . . . for 'a' adults and 'k' kids

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

Use the area model to multiply

1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.

Answers

Answer:

no porque algunproblemw

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X

Answers

Answer:

x = 12.81

Step-by-step explanation:

PlEASE HELP URGENT!!!!!!!!!

Answers

The answer is -3, i had a test with the same question

ANS WER AS SOON AS POSSIBLE
AND I WILL MARK U AS BRAINLIST

Answers

False

Take RHS = 6 x 105 + 6 x 102 = 6 x 100000 + 6 x 100 = 600000 + 600 = 600600 ≠ LHS Hence, RHS ≠ LHS

Hoped that helped!

Answer:

False

Step-by-step explanation:

use PEMDAS.

since there is no perenthesis you start with exponents.

10^5=100000

10^2=100

6*100,000+6*100

Next, you go to multipliation

600,000+600

Finally, you move on to addition

600,600

BRAINLIEST
Please do one or more questions

Answers

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

Jenny wants to build a concrete patio that will be 8 meters by 11 meters

Answers

Answer:Cost = $352Step-by-step explanation:Area = 8 x 11=> Area = 88 m²=> Cost = 88 x 4=> Cost = $352Conclusion:

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

please help me asap


ty :)

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

Subtract 3x both sides

21y = 21 - 3x

Divide by 21 both sides

y = 1 - 1/7x

y = -1/7x + 1

What is the volume of a sphere with a radius of 9 units?
O A. 97271 units3
O B. 2437 units3
O C. 4867 units
O D. 32477 units3

Answers

Yes it would be 3,053.63 units^3.

But in our case, from the choices above, it would be (A. 972 pie units^3)

hope this helps.

Step-by-step explanation:

The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of sphere = 9 units

Now, We know that;

Volume of sphere = 4/3 πr²

Radius = 9 units

Hence, We get;

⇒ Volume of sphere = 4/3 πr²

⇒ Volume of sphere = 4/3 × 3.14 × (9)²

⇒ Volume of sphere = 339.12 units³

Thus, The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.

Answers

Can you show the items?

given a1 = -1 and a4 = -8 what is a10

Answers

Answer:

The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term

Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?

0.22
0.45
0.50
0.78

Answers

Answer: D) 0.78

Step-by-step explanation:

Add all the given probabilities to find the answer:

45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78

504300 in standard form

Answers

504,300


explanation:



Order these numbers from least to greatest

Answers

Answer:

5.125 < 5.14 < 5.15 < 5 2/9

Step-by-step explanation:

i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3

please help me with this

Answers

Answer:

no

Step-by-step explanation:

for two shapes to be equal the respective angles and sides must be congruent. since 34 doesnt equal 36, the two arent congruent

What is the value of this expression when y = 6? 6(4y−3)−9y

Answers

Answer:

72

Step-by-step explanation:

6(4(6)-3)-9(6)

6×(24−3)−54

I think the answer is 72, sorry if it is wrong

Answer:

I think it's 72

Step-by-step explanation:

4.6=24

24-3=21

21.6=126

9.6=54

126-54= 72

Help stuck on this question

Answers

place a point on -5, on the y axis. then draw a line straight through up one box and over one box placing points along the way to form a line

Can someone please help 25 points for this one

Answers

Answer:

im not sureee

Step-by-step explanation:

srry

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