In the MNP triangle, the angle is P = 90 °, PK is the height, the angle is N = β, PN = b. Find the lengths MN, MP, KN.

The РМН triangle is rectangular, then МН = PH / Cosβ = b / Cosβ.

MP = PH * tgβ = b * tgβ.

RK – height, then the RKN triangle is rectangular, then KN = RN * Cosβ = b * Cosβ.

Answer: МН = b / Cosβ, MP = b * tgβ, КН = b * Cosβ.



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