A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?
A
184m
B
185m
C
186m
D
187m
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Tan 20º = \(\frac{68m}{x}\)
x tan 20º = 68
x = \(\frac{68}{tan 20}\) = \(\frac{68}{0.364}\)
x = 186.8
= 187m
Source: Myschool Past Questions Archive (Record #29982)