At point A on horizontal ground

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

Problem

At point A on horizontal ground, the angle of elevation of the top of a tower standing on a hill is 30°. After moving 100 m towards the hill on the same straight line to point B, the angle becomes 45°. If the tower itself is 40 m high, find the height of the hill. (a) 503 m50\sqrt3\,\text{m} (b) 603 m60\sqrt3\,\text{m} (c) 503+10 m50\sqrt3+10\,\text{m} (d) 403+40 m40\sqrt3+40\,\text{m}

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