A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30o. Determine the height of the tower.
-
A.
(frac{40sqrt{3}}{3}m) -
B.
20 m -
C.
40√3 m -
D.
40 m
Correct Answer: Option A
Explanation
(Tan 30 = frac{h}{40}\
frac{1}{sqrt{3}}=frac{h}{40}\
hsqrt{3}=40\
h = frac{40}{sqrt{3}}\
h = frac{40}{sqrt{3}} times frac{sqrt{3}}{sqrt{3}}\
h = frac{40sqrt{3}}{3})