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Trigonometry

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Elevation, Tangent, Degree

TRIG-$QKWHR

Talia was looking up at the top of a building in the distance. The angle of elevation of her view was ${42}^{°}$. She moved $20\ meters$ closer and her view to the top of the building was now at an angle of elevation of ${55}^{°}$.

How tall is the building? Round to the nearest tenth of a meter.

A

$ 30.7\; meters$

B

$48.7\; meters$

C

$27.9\; meters$

D

$25.3\; meters$