Angles of elevation of pole are 60° and 45° from points at distances m and n o

Question

Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?

Options:

A . $$\sqrt {mn\sqrt 3 } \,{\text{units}}$$

B . $$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$

C . $$\sqrt {3mn} \,{\text{units}}$$

D . $$\sqrt {mn} \,{\text{units}}$$

Answer: Option A

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