A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles of elevation of the top of the pole at P, Q are α, β respectively. Then the height of the pole is:

Question

TuteeHUB · Accepted Answer

$\frac{{b\tan \alpha }}{{\tan \beta }}$

TuteeHUB · Answer

$\frac{b}{{\tan \beta + \tan \alpha }}$

TuteeHUB · Answer

$\frac{b}{{\tan \beta - \tan \alpha }}$

TuteeHUB · Answer

$\frac{b}{{\cot \beta - \cot \alpha }}$

1.	A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles of elevation of the top of the pole at P, Q are α, β respectively. Then the height of the pole is:
A.	\(\frac{b}{{\tan \beta + \tan \alpha }}\)
B.	\(\frac{b}{{\tan \beta - \tan \alpha }}\)
C.	\(\frac{b}{{\cot \beta - \cot \alpha }}\)
D.	\(\frac{{b\tan \alpha }}{{\tan \beta }}\)
Answer» D. \(\frac{{b\tan \alpha }}{{\tan \beta }}\)

A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles of elevation of the top of the pole at P, Q are α, β respectively. Then the height of the pole is:

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