We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(62^{\circ})=\frac{h}{16}$

$h=16\cdot \text{tan}(62^{\circ})$

$h=16\cdot 1.880726465346$

$h=30.0916234\approx 30.1$

Therefore, the poll is approximately 30.1 feet tall.

6 0

3 years ago

The sum of a number and 6 is 8 more than twice the number. Find the equation that could be used to find this number .

Reil [10]

The correct answer is D

6 0

3 years ago

Will give crown will post one more

zubka84 [21]

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

Give me that crown again

6 0

2 years ago

Read 2 more answers

Peaches are being sold for 2$ per pound. If x represents the number of pounds of peaches bought and y represents the total cost

ladessa [460]

3x-x+2=4, That should be your answer if that is what your looking for

6 0

3 years ago