From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff
A
14.9 o
B
15.5 o
C
74.5 o
D
75.1 o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
From the diagram above:
\(\tan \theta = \frac{20}{75} = 0.267\)
\(\theta = \tan^{-1} 0.267 = 14.93^\circ\)
\(\approxeq\) 14.9^\circ
Source: Myschool Past Questions Archive (Record #26400)