A ladder is leaning against a vertical wall. The ladder is 25 meters long and makes an angle of 30 degrees with the ground. How high does the ladder reach up the wall?
12.5 meters
Let h be the height reached on the wall. The ladder, wall and ground form a right triangle with the 25-metre ladder as hypotenuse and the 30° angle at the ground.
The vertical side (height on the wall) is opposite the 30° angle, so h = 25 × sin 30° = 25 × (1/2) = 12.5 m.
Hence, the answer is 12.5 meters.
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