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Circles

Question
CBSEENMA10008426

Two pillars of equal height stand on either side of a roadway which is 150 m wide. From a point on the roadway between the pillars on the roadway between the pillars, the elevations of the top of the pillars are 60° and 30°. Find the height of the pillar and the position of the point.

OR

A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevations of the top of a hill as 60° and angle of depression of the base of the hill as 30°. Find the distance of the hill from the ship and height of the hill.

Solution
64.88 m. or 17.3 m.

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