<PRE><B>Question 725219</B>
 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.)
-------------------
Draw the picture.
You have a triangle with base angles of 38 and 90.
Let the side opposite the 38 degrees be 21.
----
Solve for the hypotenuse:
sin(38) = opp/hypotenuse 
hypo = 21/sin(38)
hypo = 34.11 ft.
=============
Cheers,
Stan H.
===============</PRE>