Question

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

Answer 1

Answer:

$x = 5.1 yd$

Step-by-step 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:

$tan(25) = \frac{opposite}{adjacent}$

$tan(25) = \frac{x}{11}$

Multiply both sides by 11 to solve for x

$11*tan(25) = x$

$5.129 = x$

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