Question

In triangle ABC, AC = 8 cm and AB = 13.6 cm. Determine the sine ratio of angle B, rounded to the nearest thousandth. * a. 0.588 b. 0.728 c. 0.809 d. 1.375

Answer 1

Answer:

Option A) 0.588

Step-by-step explanation:

We are given the following in the question:

In triangle ABC

AC = 8 cm

AB = 13.6 cm

We have to find the sine ratio of angle B.

We define sine ratio of angle B as:

$\sin B = \dfrac{\text{Perpendicular}}{\text{Base}}$

Putting values, we get,

$\sin B = \dfrac{AC}{AB} = \dfrac{8}{13.6} = 0.588$

The attached image shows the triangle.

The correct ansqwer is

Option A) 0.588