Question

A 5-foot-tall person is standing on the ground 60 feet away from a building. The angle of elevation from the person's eyeline to the top of the building is 30°. How tall is the building?

A. 34.6 feet
B. 37.5 feet
C. 39.6 feet
D. 103.9 feet

Answer 1

Check the picture below.

`\tan(30^o )=\cfrac{\stackrel{opposite}{h}}{\underset{adjacent}{60}} \implies 60\tan(30^o)=h \implies 34.6\approx h~\hfill~\stackrel{ h + 5 }{\approx\text{\LARGE 39.6}}`

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