Trigonometryhard · Past Paper

From the top of a 60 m high building, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°. The height of the tower is:

A40 m
B30 m
C20 m
D50 m

✓ Correct Answer: A40 m

Distance d = 60/tan 60 = 20√3. Height difference x = 20√3 * tan 30 = 20. Tower height = 60 - 20 = 40 m.

Share this question

More from Trigonometry