WAEC - Mathematics (1998 - No. 8)

When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight?
400m
800m
1500m
1600m
1700m

Explanation

From the diagram, \(\sin 30 = \frac{800}{x}\)

\(x = \frac{800}{\sin 30} \)

= \(\frac{800}{0.5} \)

= 1600 m

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