Q11. - Algebra 1

Question

What is the value of $\mathbf{sin}\mathit{B}$? Express your answer as a fraction.

Step-by-Step Solution

Answer

$\mathit{s}\mathit{i}\mathit{n}\mathit{B}\mathbf{=}\frac{5}{13}$

Step 1. Observe.

Observe the given figure and mark $\angle B$.

Step 2. Formula to find sin of an angle.

In a right-angled triangle, sin of an angle $\theta$ is equal to the ratio of opposite side and hypotenuse, that is,

$\sin \theta =\frac{\text{opposite side}}{\text{hypotenuse}}$

Step 3. Find s i n B .

Find sin of angle $B$.

$\sin B=\frac{5}{13}$

Therefore, $\sin B=\frac{5}{13}$.