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At the foot of a mountain, the elevation...

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

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To find the height of the mountain, we will break down the problem into manageable steps. ### Step-by-Step Solution: 1. **Understanding the Problem**: - At the foot of the mountain, the angle of elevation to the summit is \(45^\circ\). - After ascending 1000 m up a slope with a \(30^\circ\) inclination, the angle of elevation to the summit becomes \(60^\circ\). - We need to find the height of the mountain. ...
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