From a point P on level ground

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

From a point P on level ground, the angle of elevation of the top of a tower is 30°. After moving 50 m straight towards the tower to point Q, the angle of elevation becomes 45°. What is the height of the tower (to the nearest tenth of a metre)? (a) 86.6 m86.6\text{ m} (b) 68.3 m68.3\text{ m} (c) 50.0 m50.0\text{ m} (d) 43.3 m43.3\text{ m}

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