In triangle ABC, angle A is 90 °, AC = 6 sinB = 0.3. Find BC.

It is known from the condition that in triangle ABC the angle A is 90 °, the side AC = 6, and sin B = 0.3. And find the length of the side BC for.

Let us apply the sine theorem to solve the problem. Let us remember her first of all.

The sides of the triangles are proportional to the sines of the opposite angles of the triangle.

For our triangle, the following relationship is true:

AC / sin B = BC / sin A.

Substitute the known values and get the proportion:

6 / 0.3 = BC / 1.

Expressing the BC value:

BC = (6 * 1) /0.3 = 6 / 0.3 = 20.

Answer: BC = 20.