Discussion
A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing i
Answer: B
The balloon rises vertically above \( A \), so its height is the opposite side of a right triangle with base 150 m.
\[ h = 150\tan 60^{\circ} = 150\sqrt{3} = 150 \times 1.732 = 259.8 \text{ m} \]
Two minutes is 120 seconds:
\[ v = \frac{259.8}{120} = 2.165 \approx 2.16 \text{ m/s} \]
Converting the 2 minutes to seconds before dividing is the step most often skipped; leaving it in minutes gives 129.9, which matches no option.
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