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in Trigonometry by (48.0k points)
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From the top of a building of height ‘h’ metres, the angle of depression of an object on the ground is a. The distance (in metres) of the object from the foot of the building is 

(a) h sin a

(b) h cos a

(c) h tan a

(d) h cot a

1 Answer

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by (49.1k points)
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Best answer

Correct option is (d) h cot a

PA is the building of height h.

∠PBA = a.

\(\therefore\) In rt. \(\Delta\)PAB,

\(\tan \alpha = \frac{PA}{BA}\)

⇒ BA = PA cot a = h cot α

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