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An observer 3 m tall is 3 m away from the pole 23 high. What is the angle of elevation of the top? -

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Question

An observer `sqrt3` m tall is 3 m away from the pole `2 sqrt3` high. What is the angle of elevation of the top?

Options

  • 60°

  • 30°

  • 45°

  • 90°

MCQ

Solution

30°

Explanation:

Height of the pole that is above man’s height `= 2 sqrt3 - sqrt3 = sqrt3  "m"`

Hence, AB = `sqrt3` m

BC = 3 m

Hence, tan C `= "AB"/"BC" = sqrt3/3 = 1/sqrt3`

`=> "C, angle of elevation" = 30^circ`

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