Question

The horizental distance between two towers is 60m. The angular elevation of the top of the taller tower as seen from the top of theshorter one is 30°. If the height of the taller tower is 150m, the height of the shorter one is

• A. 100
• B. 106
• C. 116
• D. None of these

Answer 1

Answer: (C)

116

Answer 2

In triangle,

$\tan 30=\frac{150-h}{60}$

1/√3 $=\frac{150-h}{60}$

20√3 = 150 - h
h = 150- 20√3
h = 150 - 34.64
h = 115.36m (nearly equal to 116m).
So the correct option is (C)