How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees.Round to the nearest foot

Question

asked Jul 25, 2023 218k views

1 Answer

JDpawar · Answer 1 · 2023-07-31T14:59:04+0000

Solution

We will draw a diagram to illustrate the information

Using the concept of SOHCAHTOA

We are given adjacent and we want to find opposite

$\begin{gathered} tan\theta=(opposite)/(adjacent) \\ tan29=(H)/(71) \\ cross\text{ multiply} \\ H=71tan29 \\ H=39.35594265 \\ H=39ft \end{gathered}$

Therefore, the answer is