A man observes the angle of elevation of the top of a mountain to be . He walks feet nearer and finds the angle of elevation to be . What is the distance of the first point of observation from the foot of the mountain?

Explanation: Solution Let be the height of the mountain. Let be the distance from the second point to the foot. Let be the distance from the first point to the foot. In (angle ): In (angle ): Since : Rationalizing: Distance of first point ( ):

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NIMCET 2013 — Mathematics PYQ

NIMCET | Mathematics | 2013

A man observes the angle of elevation of the top of a mountain to be $30^\circ$ . He walks $1000$ feet nearer and finds the angle of elevation to be $45^\circ$ . What is the distance of the first point of observation from the foot of the mountain?

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NIMCET 2013 — Mathematics PYQ

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