Trigonometrymedium · Past Paper

The shadow of a tower is found to be 40 m longer when the sun's altitude is 30° than when it is 60°. Find the tower height.

A20√3 m
B40√3 m
C20 m
D40 m

✓ Correct Answer: A20√3 m

h/tan 30 - h/tan 60 = 40. h√3 - h/√3 = 40. 2h/√3 = 40. h = 20√3 m.

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