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 angle of approximately 35.4 ° , rising to a height of 1693.5 feet above sea level. (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.
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 angle of approximately 35.4 ° , rising to a height of 1693.5 feet above sea level. (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.
Solution Summary: The author calculates the vertical height of the inclined plane if the railway cars travel at a distance of 896.5feet inclined at an angle of approximately 35.4°.
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 angle of approximately
35.4
°
,
rising to a height of
1693.5
feet above sea level.
(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.
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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