Trigonometry-27

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A man sitting in an aeroplane observes that the angles of depression of two towers 2 km apart are 600.
If the place is exactly above the middle point of the line joining the towers, calculate its height.

Solution: A and B represent towers and P the aeroplane

PM / AM = tan 600

=> PM / 1 = tan 600

=> PM = 1 X tan 600 = √3

Hence the place is at a height of √3 km

image:tri27.png

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