- In this problem, we have to find x, which is the hypotenuse. We have a 30 degree angle and 33m for the length of the opposite side of the angle. With these references, we can use it to solve x. TO solve x, we can use sin because with sin we can use the opposite (33m) and the angle (30 degree). I have put SOH CAH TOA in the picture for reference. Therefore, i would write sin 30 = 33/x, because SOH is S=opposite/hypotenuse. I would divide 33 by sin30 and the answer is 66m. x=66m
2) In this problem, we have to find x angle. We have a 22 cm opposite and a 30 cm hypotenuse. Therefore we would use Sin. We would move sin to the opposite side of the equation so its sin-1 and we multiply it with (22/30) giving us 47 degree as the answer. x= 47 degree
3) To solve this problem we have to find x which is the adjacent. We have a 62 degree angle and a hypotenuse of 18 degree. Therefore we would use cos because it is adjacent/hypotenuse. Therefore cos62=x/18 which is cos62x18 = 8.45. x=8.45 cm