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?
A
400m
B
800m
C
1500m
D
1600m
E
1700m
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
From the diagram, \(\sin 30 = \frac{800}{x}\)
\(x = \frac{800}{\sin 30} \)
= \(\frac{800}{0.5} \)
= 1600 m
Source: Myschool Past Questions Archive (Record #22100)