The angle of elevation of the top of a tower from a point on the...
MATHEMATICS
WAEC 2004
The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30°. Calculate the height of the tower.
- A. 62.35m
- B. 20.78m
- C. 18.00m
- D. 10.39m
Correct Answer: B. 20.78m
Explanation
Where H is the height of the tower H = ?
\(Tan 30^{\circ} = \frac{H}{36} \Rightarrow H = 36 \times tan30^{\circ}\\
H = 36 \times 0.5774 = 20.79\)
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