# The lateral edge of the inclined prism is 15 cm and is inclined to the plane at an angle of 30 degrees.

January 31, 2021 | education

| **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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.