Question

Joey wants to toss a ball to his friend Chandler out his apartment window. The angle of depression from Joey to Chandler is 78 degrees. Chandler is standing 20 feet from the base of the building. What is the vertical distance the ball would fall is Joey dropped it out the window?

Answer 1

Given data:

The given angle of depression is θ= 78°.

The base length is b=20 feet.

The expression for tan(78°) is,

`\begin{gathered} \tan (78^(\circ))=(h)/(b) \\ \tan (78^(\circ))=\frac{h}{20\text{ ft}} \\ h=94.09\text{ ft} \\ \approx94.1\text{ ft} \end{gathered}`

Thus, the vertical height is 94.1 ft.