A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°, After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is
Text Solution
Verified by ExpertsC
tan30 o = 
= 
⇒ 
x = y + z ⇒ tan60 o = 
= 
⇒ x = 
y = y + z
3y = y + z ⇒ 2y = z
for 2y distance time = 10 min.
so for y dist time = 5 min.
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