At the foot of a mountain

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

At the foot of a mountain, the elevation of its summit is 45∘45^\circ. After ascending 1000m towards the mountain up a slope of 30∘30^\circ inclination the elevation is found to be 60∘60^\circ. Find the height of the mountain.

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