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Q.

From the top of a minar of height 60m, the top and bottom of a clock tower are observed at the angles of depression of 30°  and 60°  respectively. Then the height of the clock tower in metres is

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a

60

b

50

c

40

d

80

answer is A.

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Detailed Solution

Question Image

tan30°=xy

⇒13=xy

⇒y=x.3

tan60°=60y⇒y=603

⇒  x=20m

∴x+h=60

⇒h=60−20=40 mts

∴ height of clock tower =40 mts

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