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The angle the golfer went off line from the tee when they drove the ball
is [tex]\phi=28.2 \textdegree[/tex] because the cosine rule has been applied to calculate the angle
From the question we are told that:
Distance of hole from tee [tex]d_h=340yards[/tex]
Distance to the right [tex]d_r=230yards[/tex]
Ball distance from hole [tex]d_b=175 yard[/tex]
Given that the three points form a triangle x,y,z respectively
Where
[tex]d_h=xz[/tex]
[tex]d_r=xy[/tex]
[tex]d_b=yz[/tex]
Using Cosine Rule
[tex]yz^2=xy^2+xz^2-2(xy)(xz)cos\phi[/tex]
Therefore
[tex]cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}[/tex]
[tex]cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}[/tex]
[tex]cos\phi=0.88[/tex]
[tex]\phi=28.2 \textdegree[/tex]
In conclusion the angle the golfer went off line from the tee when they
drove the ball is mathematically deducted and give as
[tex]\phi=28.2 \textdegree[/tex]
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