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Q.

From the top of a building h metres, the angle of depression of an object on the ground is α. Find the distance of the object from the foot of the building.


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a

hcotα m

b

htanα m

c

hcosα m

d

hsinα m 

answer is A.

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Detailed Solution

Given the height of the building = h m.
Angle of depression = α.
Let the distance of the object from the foot of the building = d.
Question Image tanα=hd  ⇒d=htanα  ⇒d=hcotα So, the distance of the object from the foot of the building is hcotα m.
Hence, the correct option is 1.
 
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