Solve the triangle. round side measure to the nearest tenth and angle measures to the nearest degree.

First calculate the missing angle . By knowing all angles in triangle have a sum of 180°.




Now we required to use angle functions in a right triangle. The cosine of is equal to the relation of side and hypotenuse .

Now we solve this for hypotenuse.





Now put in the numbers.



So we know the length of hypotenuse and length of side therefore side can be calculated using Pythagorean theorem: .

Solve for side .







So there you go. If you have any questions feel free to ask.

r3t40