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in Mathematics by (88.9k points)

A tower is observed from two stations A and B where B is last of A at a distance 100 m. The tower is due north of A and due northwest of B. 

The angles of elevation of the tower from A and B are complementary. Find the height of the tower.

1 Answer

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Let the height of the tower PQ be h and A, B are the two points of observation is AB = 100m. B is northwest of A and the point Q is due north of A.

From the right angled triangle AQP and BQP, we have

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