In the MPK triangle, the angle M is 90 degrees, MK = 23.4, the sin of the angle P = 0.9. Find PK.

The sine of an acute angle in a right triangle is the ratio of the opposite leg to the hypotenuse.
Let’s write this definition using the data of our condition. MK – opposite leg, PK – hypotenuse.
sin P = MK / PK = 0.9.
From this we can find the PK hypotenuse:
PK = MK / sin P = 23.4 / 0.9 = 26.
Answer: Hypotenuse PK = 26.