SOLUTION: I have a 3ft long plank that needs to be changed to a 45 degree ramp. How do I calculate the height needed. nofn@msn.com

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Question 370117: I have a 3ft long plank that needs to be changed to a 45 degree ramp. How do I calculate the height needed. nofn@msn.com
Found 2 solutions by CharlesG2, ewatrrr:
Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
I have a 3ft long plank that needs to be changed to a 45 degree ramp. How do I calculate the height needed. nofn@msn.com

ramp looking from the side will be a right triangle,
with the hypotenuse being 3 ft,
the side opposite to the 45 degree angle of the ramp is the height,
the side adjacent to the 45 degree angle of the ramp is the length or base of the ramp
remember sohcahtoa:
sine = opposite/hypotenuse, cosine = adjacent/hypotenuse
tangent = opposite/adjacent
sin 45 = opp/hyp = height/3
3sin 45 = height
3 * sqrt(2)/2 = height
(3/2)sqrt(2) = height
2.12 ft rounded to the nearest hundredth = height
0.12 ft * 12 inches per foot = 1.44 inches
so height is approximately 2 feet and 1 inch


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

Let x be the height

sin45° = opp/hyp

sin45° = x/3ft

3ft*sin45° = x

2.121ft = x 

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