Answer:
40.1 cm
Explanation:
For this problem we will use trigonometry. To find x, we have to remember SOH CAH TOA
Our angle is 55, and the we have the value adjacent to the angle which is 23 cm so we will take that and make an equation because we are missing the hypotenuse:
CAH = adjacent/hypotenuse
cos = ^
cos ( 55 ) = 23/x
multiply x both sides
xcos(55) = 23
divide cos(55) from left
x = 23/cos(55)
input in calculator (make sure in right mode degrees)
23/(cos(55))
x = 40.09927 cm
x = 40.1 cm