Trigonometrymedium · Past Paper

From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 20 m high building are 45° and 60°. Find the tower height.

A20(√3-1) m
B20√3 m
C20 m
D10 m

✓ Correct Answer: A20(√3-1) m

Distance = 20/tan 45 = 20. Total height = 20*tan 60 = 20√3. Tower = 20√3 - 20.

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