A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30

^{o}. 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})