How to find the missing sides if an angle and the hypotenuse are given

[ihatetrigonometry]

Hi so I know how to find the missing side of a triangle if i dont know a side or the hypotenuse but in the following tasks i know how big the angle and the hypotenuse are

It pretty much says find the missing sides but in German because I live in Germany

 

[tkhunny]

You should have four tools:

1) Law of Sines
2) Law of Cosines
3) Pythagorean Theorem
4) Sufficient background in Algebra

Are you missing any of these things?

 

[Dr.Peterson]

Surely your textbook gives examples like this!

I assume the dot means a right angle, so these are all right triangles. Use the definitions of sine and cosine.

You are given an angle and the hypotenuse. The opposite side over the hypotenuse is the sine of the angle, so the opposite side is the hypotenuse times the sine of the angle.