The Johnstown Incline in Pennsylvania is one of the longest and steepest winches in the world. The 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. (see figure on the site). (Round your answers to two decimal places.) www.webassign.net/larpcalclim2/4-3-088.gif
(a) Find the vertical elevation of the inclined plane. (in feet)
(b) Find the elevation of the lower end of the inclined plane. (in feet)
(c) The cars move up the mountain at a speed of 300 feet per minute. Find the rate at which they rise vertically. (in ft/min) a) h = 896.5 sin35.4 = 519.33 ft
b) 1693.5 – 519.33 = 1174.17 feet
c) 300sin35.4 = 173.80 ft/min
is it correct?? The height is found via
h/896.5 = sin 35.4°
h = 519.3 feet
The lower end elevation is only 1693.5h, right?
hint: feet/min means divide the ascent by the time. hi oobleck, thanks, are my answers correct? Sounds good to me, I agree with all of that. Make sure you know how to fix them in case you have more questions like this. What do you think is the answer? I won’t give you the answer, but I will verify or give you information.