Question

I need help very quickly, please!!​

Answer 1

32ft

Explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer 2

32 feet

Explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is
`(opposite)/(adjacent)`

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=
`(x)/(15)`

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=
`(x)/(15)`

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)