trigonometry
posted by ceci on .
a restaurant uses a cable for the servers to slide orders down to the kitchen. the end where the servers place the order is 5 feet high. the end where the kitchen receives the order is 1 foot high. the angle of elevation from the kitchen to the servers stand is 25 degrees. calculate the length of the cable to the nearest hundredth of a foot.

the difference in heights is 4
x = cable length
sin 25° = 4/x
x = 4/sin25° = 9.46