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.
-
\(\frac{40\sqrt{3}}{3}m\)
- 20 m
- 40√3 m
- 40 m
The correct answer is: A
Explanation
\frac{1}{\sqrt{3}}=\frac{h}{40}\\
h\sqrt{3}=40\\
h = \frac{40}{\sqrt{3}}\\
h = \frac{40}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}\\
h = \frac{40\sqrt{3}}{3}\)