Trigonometrymedium · Past Paper

A vertical pole and a tower are on the same ground. The angle of elevation of the top of the tower from the top and bottom of the pole are 30° and 60° respectively. If tower is 90 m, pole height is:

A30 m
B60 m
C45 m
D20 m

✓ Correct Answer: B60 m

Distance d = 90/tan 60 = 90/√3 = 30√3. Height above pole = 30√3 * tan 30 = 30. Pole height = 90 - 30 = 60 m.

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