A man 40m from the foot of a tower observes..

Question 1 Report

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

40m

\sqrt{3}

20m

\frac{40 \sqrt{3}}{3}

Answer Details

tan 30o = $\frac{h}{40 m}$
h = 40 tan 30o
= 40 x $\frac{1}{\sqrt{30}}$ m
by rationalizing
h = $\frac{40 \sqrt{3}}{3}$ m