Question

50 Points! find x and explain how you found it!

Answer 1

x = 19.167

Explanation:

/_ACB + /_ABC = 90

53 + /_ABC = 90

/_ ABC = 37

cos(/_ABC) = AB/BC

cos(37) = x/24

x = 19.167

Answer 2

To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:

sin(53) = (side opposite angle of 53 degrees) / hypotenuse

sin(53) = x / 24

x = 24 sin(53)

x = 19.16

Hope that helped