The Johnstown Inclined Plane in Pennsylvania is one of the longest and steepest hoists in the world. The railway cars travel a distance of 896.5 feet at an angle of approximately 35.4°, rising to a height of 1693.5 feet above sea level. (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
a) sin 35.4 = h/ 896.5 h = 896.5 sin 35.4 = 519.3 feet b) 1693.5 – 519.3 = 1174.2 ft
