The distance between the two golf balls is 11.91 feet
What is cosine formula?
The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given.
There are three laws of cosines and we choose one of them to solve our problems depending on the available data.
- [tex]a^{2} = b^{2} + c^{2}- 2bc\; cos A[/tex]
- [tex]b^{2} = c^{2} + a^{2}- 2ac\; cos A[/tex]
- [tex]c^{2} = b^{2} + a^{2}- 2ab\; cos c[/tex]
The distance between the golf balls is 8 feet and 13 feet.
angle = 64
For, this we will use the cosine theorem
[tex]cos 64^{0} =\frac{8^{2}+13^{2}-x^{2}}{2*8*13}\\ 0.4384= \frac{64+169-x^{2}}{208}[/tex]
[tex]x^{2} = 141.82[/tex]
and, x =11.91
So, the distance between the two balls is: 11.91 feet
Learn more about cosine here:
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