A tower that is 103 feet tall casts. A shadow 104 feet long. Find the angle of elevation of the sun to the nearest degree.

Question

asked Jan 16, 2023 200k views

1 Answer

Florian Suess · Answer 1 · 2023-01-23T02:27:31+0000

Given: A tower and its shadow related as shown in the image

To Determine: The angle of elevation

Solution

Using the trigonometry ratio

$\begin{gathered} tan=(opposite)/(adjacent) \\ tanA=(103ft)/(104ft) \end{gathered}$
tanA=0.9904

$\begin{gathered} A=44.72^0 \\ A\approx45^0(nearest-degree) \end{gathered}$

hence, the angle of elevation A is approximately 45⁰