The lateral edge of the inclined prism is 15 cm and is inclined to the plane at an angle of 30 degrees. Find the height of the prism.
The horizontal plane, the edge of the prism and the height of the prism form a right-angled triangle, where the edge of the prism is the hypotenuse, and the height is the leg opposite the 30 ° angle.
Since in a right-angled triangle opposite an angle of 30 ° lies a leg that is half the hypotenuse, which means that the height of the prism is 15: 2 = 7.5 (cm).
Answer: The height of the prism is 7.5 cm.
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