From the top of a hill the angle of depression of the two consecutive kilometre stones due to east are found to be 30o and 45o.Find the height of a hill.

Here, AB is the hill and P and Q are two consecutive kilometer stones.

Let the height of the hill AB be h m and BP = x m.

PQ = 1 km = 1000 m


⇒ x = h    ...(1)


Thus, the height of the hill is  m.

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