1. In this problem, we have to find x, which is the hypotenuse. we have a 30 degree angle and 40m for the length of the adjacent side of the angle. first, we need write these references. To solve x, we can use cos, and use the adjacent and the angle. I have put soh cah toa in the top of picture. Therefore, I write cos30=40/x, and the answer is x=46.2m.
2. In this problem, we also have to find x. we have 2o cm for the length of the opposite side and 50cm for the length of the hypotenuse side. first we need write these references. To solve x, we can use sin. Therefore, i write sin x=20/50, and the answer is x=24.
3. In this problem, we have to find x, which is the adjacent. we have a 45degree angle and 35cm for the length of the opposite side. first, we need writhe these references. And to solve x, we can use tan, and use the opposite and the angle. Therefore, I write tan45=35/x, and the answer is x=35cm.