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°. Calculate the length of the cable to the nearest hundredth of a foot.

asked by ceci

12 years ago

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1 answer

the difference in heights is 4
x = cable length

sin 25° = 4/x
x = 4/sin25° = 9.46

answered by Steve

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Question

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°. Calculate the length of the cable to the nearest hundredth of a foot.

1 answer

the difference in heights is 4
x = cable length

sin 25° = 4/x
x = 4/sin25° = 9.46

Steve · Answer

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