When an aeroplane is 800m above the ground, its angle of elevation from a point...
MATHEMATICS
WAEC 1998
When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30°. How far is the plane from P by line of sight?
- A. 400m
- B. 800m
- C. 1500m
- D. 1600m
Correct Answer: D. 1600m
Explanation
From the diagram, \(\sin 30 = \frac{800}{x}\)
\(x = \frac{800}{\sin 30} \)
= \(\frac{800}{0.5} \)
= 1600 m
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