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Class 10 › Mathematics › Some Applications of Trigonometry
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
A car is moving away from the base of a 30 m high tower. The angle of elevation of the top of the tower from the car at an instant, when the car is $10\sqrt{3}$ m away from the base of the tower, is:
A. 30°
B. 45°
C. 90°
D. 60°
✅ Answer & Solution
✅ Correct Answer: D
Let the angle of elevation be $\theta$. Then $\tan\theta = \frac{\text{height}}{\text{distance}} = \frac{30}{10\sqrt{3}} = \frac{3}{\sqrt{3}} = \sqrt{3}$. Since $\tan 60° = \sqrt{3}$, we get $\theta = 60°$.
