Question 42

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

Solution

In triangle,

tan 30 = 150-h/60

1/√3 = 150-h/60

20√3 = 150 - h

h = 150- 20√3

h = 150 - 34.64

h = 115.36m (nearly equal to 116m)

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