Question 871236: 1. A cargo ramp leads up to the side of a building. The bottom of the ramp is 100 feet from the base of the building and makes an angle of 4° with the ground. Answer each of the questions and show all your work.
a.) Find AC, the approximate length of the ramp. Round to the nearest tenth of a foot.
b.) Find BC, the height off the ground where the ramp touches the building. Round to the nearest foot.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. A cargo ramp leads up to the side of a building. The bottom of the ramp is 100 feet from the base of the building and makes an angle of 4° with the ground. Answer each of the questions and show all your work.
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Draw the picture.
You have a right triangle with base angle = 4 degrees and base = 100'.
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a.) Find AC, the approximate length of the ramp. Round to the nearest tenth of a foot.
Equation:
cos(4 deg) = base/hypotenous = 100/ramp
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ramp = 100/cos(4) = 100.24'
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b.) Find BC, the height off the ground where the ramp touches the building. Round to the nearest foot.
sin(4) = height/100.24
height = 100.24*sin(4) = 6.99'
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Cheers,
Stan H.
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