The angle of elevation of the top of a pole from a point A on the ground is 30°. The angle of elevation changes to 45°, after moving 20 meters towards the base of the pole. Then the height of the…
Question and options
The angle of elevation of the top of a pole from a point A on the ground is 30°. The angle of elevation changes to 45°, after moving 20 meters towards the base of the pole. Then the height of the pole, in meters, is
Answer and explanation
Correct answer: D - \(10(\sqrt{3} + 1)\)
h*cot30 - h*cot45 = 20 gives h(sqrt3-1)=20, so h=20/(sqrt3-1)=10(sqrt3+1).
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IPMAT Indore
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