Question

Find the value of x. Round the length to the nearest tenth.

Answer 1

`x = 5.1 yd`

Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

`tan(25) = (opposite)/(adjacent)`

`tan(25) = (x)/(11)`

Multiply both sides by 11 to solve for x

`11*tan(25) = x`

`5.129 = x`

`x = 5.1 yd` (to the nearest tenth)