# of a foot) that maximizes this viewing angle.95. Shooting angles and shots on goal: A soccerplayer is on a breakaway and is dribbling justinside the right sideline toward the opposing goal(see figure). As the defense closes in, she has just afew seconds to decide when to shoot. (a) Useinverse functions to find an expression for theshooting angle 0. (b) Use a calculator to helpdetermine the distance d (to tenths of a foot) thatwill maximize the shooting angle for thedimensions shown.Exercise 9524 ft70 ft(goal area)(penalty area)(sideline)

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With all work shown

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Step 1

The expression for θ is to be written. Since we do not have a direct relation between the sides for angle θ, we will use the angle β.

Step 2

It can be seen that

Step 3

Using the relation for tan-1x-tan-1y exp...

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