From a point on level ground

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

Problem

From a point on level ground, the angle of elevation of a balloon is 60°. After the observer walks 100 m straight towards the point under the balloon, the angle becomes 75°. Find the height of the balloon above the ground. (a) 2003 m200\sqrt3\,\text{m} (b) 1503+100 m150\sqrt3+100\,\text{m} (c) 1003+150 m100\sqrt3+150\,\text{m} (d) 503+150 m50\sqrt3+150\,\text{m}

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