At a point on level ground the angle of elevation of the top of a tower is

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

Problem

At a point AA on level ground the angle of elevation of the top of a tower is 45∘45^{\circ}. After walking 30 m30\,\text{m} straight towards the tower to point BB, the angle becomes 60∘60^{\circ}. Calculate the height of the tower (nearest tenth). (a) 41.0 m41.0\,\text{m} (b) 71.0 m71.0\,\text{m} (c) 50.0 m50.0\,\text{m} (d) 81.0 m81.0\,\text{m}

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