A vertical pole stands on level ground

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A vertical pole stands on level ground. From a point PP on the ground, the angle of elevation of the top of the pole is 30∘30^{\circ}. When the observer moves 10 m10\,\text{m} closer to the pole, the angle of elevation becomes 45∘45^{\circ}. (i) Find the height of the pole. (ii) Determine the distance of point PP from the foot of the pole before moving.

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