The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.
-
A.
35.75m -
B.
25.00m -
C.
22.98m -
D.
19.28
Correct Answer: Option A
Explanation
(tan 40° = frac{30}{|PQ|})
(|PQ| = frac{30}{tan 40°} = frac{30}{0.839})
= 35.75m