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.)
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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