SOLUTION: How long should an escalator be if it is to make an angle of 38 degrees with the floor and carry people a vertical distance of 21 feet between floors? (Round your answer to the nea
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Question 725219: How long should an escalator be if it is to make an angle of 38 degrees with the floor and carry people a vertical distance of 21 feet between floors? (Round your answer to the nearest whole number.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How long should an escalator be if it is to make an angle of 38 degrees with the floor and carry people a vertical distance of 21 feet between floors? (Round your answer to the nearest whole number.)
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Draw the picture.
You have a triangle with base angles of 38 and 90.
Let the side opposite the 38 degrees be 21.
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Solve for the hypotenuse:
sin(38) = opp/hypotenuse
hypo = 21/sin(38)
hypo = 34.11 ft.
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Cheers,
Stan H.
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