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
hop to lisa.
the length of the shortest leg of the right triangle that is
formed is 3.5 feet.
the angle of depression from the hoop to lisa is
congruent to the angle of elevation from lisas
line of sight to the hoop.
because the lengths of the opposite and adjacent sides
are known, use the inverse tangent function.
the angle of depression, rounded to the nearest
degree, is approximately degrees.
19
21
x 71

Explanation:

Step1: Find the height of the right - triangle

The height of the right - triangle \(h=8.5 - 5=3.5\) feet.

Step2: Use the tangent function

We know that in a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side \(a = 3.5\) feet and the adjacent side \(b = 10\) feet. So, \(\theta=\tan^{- 1}(\frac{3.5}{10})\).

Step3: Calculate the value of \(\theta\)

\(\theta=\tan^{-1}(0.35)\approx19.29^{\circ}\)

Answer:

\(19\)