In a triangle, the angle C is 90, AC = 9, AB = 25. Find sinB.

According to the condition of the assignment, the angle C = 90 °, which means that the triangle ABC is rectangular, in which AB is the hypotenuse (AB = 25 cm), AC and BC are the legs (AC = 9 cm).

To find the sine of angle B (sin B), recall that in a right-angled triangle, the sine of an acute angle is equal to the ratio of the opposite leg to the hypotenuse.

The leg opposite to angle B in the triangle under consideration is leg AC.

Calculate sin B.

sin B = AC / AB,

sin B = 9/25,

sin B = 0.36.

Answer: 0.36.