The angle of depression of a point Q from a vertical tower PR, 30m high, is 40^\circ. 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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\tan 40^\circ = \frac{30}{|PQ|}\)
\(|PQ| = \frac{30}{\tan 40^\circ} = \frac{30}{0.839}\)
= 35.75m
Source: Myschool Past Questions Archive (Record #26553)