Question

A, B & C form the vertices of a triangle.

Answer 1

Answer:

BC = 17.2.

Step-by-step explanation:

Since CAB = 90º, this is a right triangle.

The triangle format is given below:

C

A           B

We have that AB = 8.6, and angle B measures 60º.

Length of BC:

BC is the hypotenyse.

Side AB is adjacent to angle B = 60º.

In a right triangle, angle $\alpha$, it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:

$\cos{\alpha} = \frac{s}{h}$

In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So

$\cos{\alpha} = \frac{s}{h}$

$0.5 = \frac{8.6}{h}$

$0.5h = 8.6$

$h = \frac{8.6}{0.5}$

$h = 17.2$

BC = 17.2.