math comic strip
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- wow! an apple, i wonder how far i will have to reach to get it
- you are 6ft away from the tree and the tree is 10ft tall.
- the angle when you look up to the apple is 42 degrees, we can use the sin ratio. we make sin(42)=10/hypotenuse. 10sin(42)= the hypotenuse. This means the hypotenuse is 14.9 feet!
- wow, he is one smart owl
- thanks for helping me reach my apple, now can you tell me how far those two apples are from each other?
- sure! I know that apple A is 4 inches from apple C, and apple C is 5 inches from apple B. we know the angle A is 25 so we need the law of sines to find the rest
- Using the law of sines, we calculate sin(5)/25=sin(4)/B=sin(c)/C. We can solve for B by using the first two portions, then we find C by adding A and B together and subtracting it from 180 making C 135 degrees. with that, plug it into Sin(5)/25=Sin(c)/135.
- does that mean that the distance between apple A and B is 28 Inches?
- Correct! the distance between those two apples is what we called c in the equation
- Thanks for the help Mr. Owl, I have to go back to my ranch now. It was really great to meet you!
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