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From the top of a hill, the angles of depression of two consecutive kilometer stones, due east are found to be 30° and 45° respectively.

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From the top of a hill, the angles of depression of two consecutive kilometer stones, due east are found to be 30° and 45° respectively. Find the distance of the two stones from the foot of the hill.

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Let AB be hill of which B is foot of hill and D and C are two Consecutive km stones.

:. 1st km stone is 1.366 km and IInd km stone is 2.366 km from foot of hill.

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