Question

Use the image to answer the question.What is the length of the side labeled x cm?

Answer 1

Given:

Given that the two angles and one side of a triangle.

`\begin{gathered} \angle A=42 \\ \angle B=61 \\ a=13cm \\ b=xcm \end{gathered}`

Required:

To find the value of x.

Step-by-step explanation:

Now from the law of sine,

`(\sin A)/(a)=(\sin B)/(b)`
`(\sin42)/(13)=(\sin61)/(x)`
`(0.6691)/(13)=(0.8764)/(x)`
`0.0514=(0.8764)/(x)`
`\begin{gathered} x=(0.8764)/(0.0514) \\ \\ x=17cm \end{gathered}`

Final Answer:

The option C is correct.

The value of x = 17 cm.