Question

Melissa and Rosa are golfing on a beautiful summer day the ninth hole is 380 yards Melissa hooked hit to the left of the correct direction her drive on hole number nine sketched belowHow far is Melissa’s ball from the hole? Explain or show your work

Answer 1

118.44 yards

Explanations:

In order to determine the required distance, you will use the cosine rule as shown:

`c^2=a^2+b^2-2abcosC`

Given the following parameters

`\begin{gathered} a=310yd \\ b=380yd \\ m\angle C=16^0 \end{gathered}`

Substitute the given parameters

`\begin{gathered} c^2=310^2+380^2-2(310)(380)cosm\angle C \\ c^2=96100+144400-235600cos16^0 \\ c^2=240500-235600cos16^0 \\ c^2=240500-226473.255 \\ c^2=14026.74 \\ c=118.44yards \\ \end{gathered}`

Therefore Melissa's ball is 118.44 yards from the hole