35.4°, rising to a height of 1693.5 feet above sea level. 896.5 ft 829 135.4° 1693.5 feet above sea level Not drawn to scale (a) Find the vertical rise of the inclined plane. (b) Find the elevation of the lower end of the inclined
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Johnstown Inclined Plane 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
35.4°, rising to a height of 1693.5 feet above sea level.
896.5 ft
1693.5 feet
above sea level
35.4° Not drawn to scale
(a) Find the vertical rise of the inclined plane.
(b) Find the elevation of the lower end of the inclined
plane.
(c) The cars move up the mountain at a rate of 300 feet
per minute. Find the rate at which they rise vertically.
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