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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 12: Q11. (page 801)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Observe.

Observe the given figure and mark $∠ B$ .

02

Step 2. Formula to find sin of an angle.

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

$\sin θ = \frac{oppositeside}{hypotenuse}$

03

Step 3. Find sinB.

Find sin of angle $B$ .

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

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

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