Question

determining an angle of depression. use the diagram and complete the steps to find the measure of the angle of depression from the top of the hoop to lisa. the length formed is. the angle congruent. lisas line of. because the are known. the angle of depression, rounded to the nearest degree, is approximately degrees.

Explanation:

Step1: Identify right - triangle sides

The vertical side of the right - triangle is $8.5 - 5=3.5$ ft and the horizontal side is 10 ft.

Step2: Use tangent function

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan\theta=\frac{3.5}{10} = 0.35$.

Step3: Find the angle

$\theta=\arctan(0.35)$. Using a calculator, $\theta\approx19^{\circ}$.

Answer:

19