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Heights and Distances Practice Test 2
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© examsnet.com
Question : 14
Total: 24
The angle of elevation of the top of a TV tower from the three points A, B, C in a straight line (in the horizontal plane) through the foot of the tower are α, 2α, 3α respectively. If AB = a, the height of the tower is:
a tan α
a sin α
a sin 2α
a sin 3α
Validate
Solution:
👈: Video Solution
OP is vertical tower. The elevations of the top of P from A, B, C are α, 2α, 3α respectively
∠OAP = ∠APB = α
∴ AB = PB = a
In ΔOBP,
OP = PB sin 2α = a sin 2α
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