asked 231k views
5 votes
You are standing 167 feet away from the base of a building and your clinometer measures 25° when it's looking at the top of the building. (This angle is the one between the ground and the top of the building). Please calculate the height of the building,

asked
User Snrlx
by
7.5k points

1 Answer

5 votes

\begin{gathered} \tan (25)=\frac{height\text{ of the building}}{167} \\ height\text{ of the building=}\tan (25)\cdot167 \\ height\text{ of the building}=0.466\cdot167 \\ height\text{ of the building}=77.8 \\ height\text{ of the building is 77.8 f}eet \end{gathered}

answered
User Sakata Gintoki
by
9.0k points
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