Question

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

Answer 1

Looking at this problem we know that we are given a side length and we are also given an angle which means that we will have to use some trigonometry. We can see that the side length that is given is 17 and that it is opposite of our 67 degree angle. We are trying to find the hypotenuse which means that we need opposite/hypotenuse which we determine using Soh Cah Toa. We see that o and h are shown in S so we will be using sin for this problem.

`sin(angle)=(opposite)/(hypotenuse)`

`sin(67)=(17)/(x)`

`0.9205=(17)/(x)`

`0.9205*x=(17)/(x)*x`

`(0.9205*x)/(0.9205)=17/0.9205`

`18.47=x`

Therefore, using sin and the given length and angle we were able to determine that x is 18.47

Hope this helps!