Mathematics

A man 40 m from the foot of a tower observes the angle of elevation…

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})