The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30o. Calculate the height of the tower.
A
62.35m
B
20.78m
C
18.00m
D
10.39m
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Where H is the height of the tower H = ?
\(Tan 30^{\circ} = \frac{H}{36} \Rightarrow H = 36 \times tan30^{\circ}\\
H = 36 \times 0.5774 = 20.79\)
Source: Myschool Past Questions Archive (Record #26626)