The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.
A
20m
B
40√3m /3
C
20√3m
D
40√3m
E
60cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\tan 30 = \frac{x}{40}\)
\(x = 40 \tan 30 = \frac{40}{\sqrt{3}}\)
= \(\frac{40\sqrt{3}}{3} m\)
Source: Myschool Past Questions Archive (Record #23220)