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
Correct Answer: Option D
Explanation
Tan 20o = (frac{68m}{x})
x tan 20o = 68
x = (frac{68}{tan 20}) = (frac{68}{0.364})
x = 186.8
= 187m