SOLUTION: Trya is building a bike ramp. She wants the angle that the bike ramp makes with the ground to be 20 degrees. If the board she wants to use for her ramp is 3 1/2 feet long, about

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Trya is building a bike ramp. She wants the angle that the bike ramp makes with the ground to be 20 degrees. If the board she wants to use for her ramp is 3 1/2 feet long, about       Log On

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Question 951886: Trya is building a bike ramp. She wants the angle that the bike ramp makes with the ground to be 20 degrees. If the board she wants to use for her ramp is 3 1/2 feet long, about how tall will the ramp need to be at its highest point?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
h%2F%223.5+ft%22=sin%2820%5Eo%29<-->h=%223.5+ft%22%2Asin%2820%5Eo%29
Using the approximate value 0.342 for sin%2820%5Eo%29 we get
h=%223.5+ft%22%2A0.342--->highlight%28h=1.20ft%29(rounded).
Since sin%2820.05%5Eo%29=0.3428400 , sin%2820.06%5Eo%29=0.3430040 , and 2%2F3.5=0.342857 ,
with a height of 1.2ft , the angle will be 20.05%5Eo , which is close enough.