MathCastle
TrigonometrySuperchallenge

Trigonometry · Superchallenge problem

A flat hillside is inclined at 30∘30^\circ to the horizontal. A straight path is laid on the hillside so that, measured within the surface of the hill, it makes an angle of 60∘60^\circ with the line of steepest ascent. How many metres must a hiker walk up this path to gain 3030 m of height?

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