Question

determining an angle of depression. use the diag measure of hoop to lisa. the length c formed is. the angle of congruent lisas line of. because the lengths of the opposite and adjacent side are known, use the function. the angle of depression, rounded to the nearest degree, is approximately degrees.

Explanation:

Step1: Identify trig - ratio

We know the opposite side ($8.5 - 5=3.5$ ft) and adjacent side ($10$ ft) of the angle of depression. The tangent of an angle in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. To find the angle, we use the inverse tangent function.

Step2: Calculate the angle

Let $\theta$ be the angle of depression. $\tan\theta=\frac{8.5 - 5}{10}=\frac{3.5}{10}=0.35$. Then $\theta=\arctan(0.35)$. Using a calculator, $\theta\approx19^{\circ}$.

Answer:

inverse tangent; 19