The Johnstown Plane is one of the longest, steepest hoists in the world. The railway cars travel a distance of 896.5 ft at an angle of approximately 35.4°, to a height of 1693.5 ft above sea level.

Question

(Round your answers to two decimal places.)

(a) Find the vertical rise of the inclined plane.

______ ft

(b) Find the elevation of the lower end of the inclined plane.

_______ ft

(c) The cars move up the mountain at a rate of 300 feet per minute. Find the rate at which they rise vertically.

_______ ft/min

Answer 1

(a) r / 896.5 = sin 35.4°

(b) e = 1693.5 - r

(c) = 896.5 / 300 fpm