Question

Solve for x in the triangle. Round your answer to the nearest tenth.

Answer 1

Answer: 8.53

Explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 49°

x = hypoteneuse·sin(A)/sin(B) = 8.53

Answer 2

8.5

Explanation:

For this we will use trigonometry.

First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.

sin Θ =
`(O)/(H)`

sin 41 =
`(x)/(13)`

x = 13 sin 41

Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.

As the question does not give any units, there will be no need to write any units after the answer.

Hope this helps