RIGHT triangle problem

Question

BC is the hypotenus of right traingle ABC .if AC is 3 and BC is 6 , then wat is measure of angle of B

Answer 1

Well whenever you have shape problem i would recommend that you draw the problem out

thats all of got sorry

Answer 2

30 degrees.

If one leg is exactly half the hypotenuse, that triangle is a 30/60/90 "special triangle."  The angle opposite the "half" side is always 30 degrees.

B

|\<~30 degrees

| .\

|. . \   <~6

|___\

A  3 .C

Answer 3

The angle B is opposite side AC, and the angle A is the right angle (opposite the hypotenuse).

You know the lengths of the "opposite" (AC) and the "hypotenuse" (BC).

The definition of sine is opposite/hypotenuse.

Set up the ratio:

sin B = opp/hyp

Substitute what you know:

sin B = 3/6

sin B = 1/2

Use a chart, or a calculator, or your knowledge of 30-60-90 triangles. (Arcsin is sine's inverse...on a calculator it might be sin^-1)

arcsin(sin B) = arcsin(1/2)

B = 30 degrees

Hope that helps!