Question

Who ever helps me ill help u with one of ur questions

John, Bill, and George are all in a field throwing a football. The three of them form a triangle and throw to pass to each other. Bill notices that he is 22 feet from John and 27 feet from George. He then sees that the uses his arms to find the angle formed between John and Georges position from where he is, it is 60 degrees. What is the distance between John and George rounded to the nearest foot?

Answer 1

25 feet

Explanation:

I have created a visual so its easier to make an equation

Because we are given two sides and its gamma we are going to need to solve for the missing side length using law of cosines

the formula for law of cosines is

`c = √(a^2+b^2-2ab*cosy)`

where a and b = side lengths

c= missing side length and y = gamma

with the given information all we have to do is plug in the values

`c=√(22^2+27^2-(22)(27)cos(60)) \\22^2=484\\27^2=749\\729+484=1213\\\\2*22*27=1188\\1188*cos(60)=594\\1188-594=619\\√(619) =24.87971016`

Finally we round to the nearest foot 25

so we can conclude that the distance between john and george is 25 feet