SOLUTION: Jeremy has a skateboard ramp sent 30° from the ground if the height of the platform is 8 feet from the ground how long is the ramp up to the top of the platform?
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Question 1017942: Jeremy has a skateboard ramp sent 30° from the ground if the height of the platform is 8 feet from the ground how long is the ramp up to the top of the platform? Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! So 30 is the angle formed by the ground and the beginning of the ramp. 8 is the height of the ramp as measured from the ground to the top of the ramp. Thus, we have a right triangle where we know the angle and the opposite side.
To solve it, we use SOH (Sine(theta) Opposite/Hypothenuse)
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Sin(30)= 8/h (use your calculator to find sin(30)
1/2 = 8/h We take the reciprocal of both sides:
2/1 = h/8; 2= h/8 multiply both sides by 8
2*8= h
16 = h which is the length of your ramp.
