Answer:
23. x = 11.1 // 24. x = 21.4
Explanation:
23.
Observe which sides are known and needed. 15 is the hypotenuse and x is the adjacent side. The trigonometric function that connects both the hypotenuse and the adjacent side is cosine. Using the degree, set up the equation as so: cos(42) = x/15. (Because cosine is adjacent over hypotenuse, x is over 15). Isolate x to solve for it by multiplying both sides by 15. cos(42) * 15 is 11.1
24.
Observe which sides are known and needed. x is the hypotenuse and 11 is the opposite side. The trigonometric function that connects both the hypotenuse and the opposite side is sine. Using the degree, set up the equation as so: sin(31) = 11/x. (Because sine is opposite over hypotenuse, 11 is over x). Isolate x to solve for it by multiplying both sides by x and then dividing both sides by sin(31). 11 divided by sin(31) is 21.4