Question 1089747: 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 16 inches. The incline of Mark's ramp makes a 45-degree angle with the ground, and the length of the inclined ramp is 12 inches.
Part A: What is the horizontal length of the base of each ramp? Explain how you found you answers.
Part B: Which car is launched from the highest point? Explain your reasoning.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! in a right triangle the cosine is defined as the adjacent side divided by the hypotenuse
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in a right triangle the sine is defined as the opposite side divided by the hypotenuse
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Part A
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cos(30) = x / 16
x = cos(30) * 16 = 13.86 inches
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cos(45) = y / 12
y = cos(45) * 12 = 8.49 inches
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Jane's ramp has a horizontal distance of 13.86 inches
Mark's ramp has a horizontal distance of 8.49 inches
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Part B
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sin(30) = x / 16
x = sin(30) * 16 = 8 inches
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sin(45) = y / 12
y = sin(45) * 12 = 8.49 inches
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Mark's car is launches from the highest point(8.49 inches)
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