Jane and Mark, each Build ramps to jump their remote-controlled cars. Both ramps are right triangles when viewed from the side.  The incline of Jane’s ramp makes a 30-degree angle with the ground, and the length of the inclined ramp is 14 inches. The incline of Mark’s ramp makes a 45-degree angle with the ground, and the length of the inclined ramp is 10 inches.  A) What is the horizontal length(x) of the base of Jane’s ramp? Show your work and explain your reasoning. B)  What is the horizontal length (x) the base of Mark’s ramp?  Show your work and explain your reasoning. C)  Which car is launched from the highest point?  Show your work and explain your reasoning.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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1.Jane and Mark, each Build ramps to jump their remote-controlled cars. Both ramps are right triangles when viewed from the side.  The incline of Jane’s ramp makes a 30-degree angle with the ground, and the length of the inclined ramp is 14 inches. The incline of Mark’s ramp makes a 45-degree angle with the ground, and the length of the inclined ramp is 10 inches. 


A) What is the horizontal length(x) of the base of Jane’s ramp? Show your work and explain your reasoning.



B)  What is the horizontal length (x) the base of Mark’s ramp?  Show your work and explain your reasoning.



C)  Which car is launched from the highest point?  Show your work and explain your reasoning.








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