Question

A man observes the top of a tower of 80√3m height from 240m far from the foot of the tower, find the angle of elevation.

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Answer 1

30°

Explanation:

`height \: of \: the \: tower \: (h)\: = 80 √(3) \: m \\ distance \: of \: the \: observer \: (d) = 240 \: m \\ \\ let \: \theta \: be \: the \: angle \: of \: elevation \\ \\ \therefore \: tan \theta = (h)/(d) \\ \\ = (80 √(3) )/(240) \\ \\ = ( √(3) )/(3) \\ \\ \therefore \: tan \theta = (1)/( √(3) ) \\ \\ \implies \: tan \theta = \tan \: 30 \degree \\ \\ \huge{ \red {\therefore \: \theta \: = 30 \degree}}`