AstraW91672 AstraW91672
  • 25-10-2022
  • Mathematics
contestada

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

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MaguireB502607 MaguireB502607
  • 25-10-2022

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

[tex]\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan29=\frac{H}{71} \\ cross\text{ multiply} \\ H=71tan29 \\ H=39.35594265 \\ H=39ft \end{gathered}[/tex]

Therefore, the answer is

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