Question

Solve the right triangle ABC with right angle C, if B=30 degrees, and C = 10

Answer 1

Answer:

The answer to your question is letter D

Step-by-step explanation:

We know that the sum of the internal angles in a triangle equals 180°.

So, B = 30°, C = 90° and A = ?

                      A + B + C = 180°

Substitution

                      A + 30 + 90 = 180

Solve for A

                     A = 180 - 30 - 90

                     A = 180 - 120

                    A = 60°

To find "b". use the trigonometric function sine

sin B = $\frac{opposite side}{hypotenuse}$

sin B x hypotenuse = Opposite side

Opposite side = sin 30 x 10

Opposite side = 0.5 x 10

Opposite side = b = 5.0                          

To find "a" use the trigonometric function cosine

Cos A = adjacent side / hypotenuse

Adjacent side = a = cos A x hypotenuse

Adjacent side = a = cos 60 x 10

                          a = 0.866 x 10

                         a = 8.66