Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Get comprehensive answers to all your questions from our network of experienced experts.

8.The outfield fencing for a Minor League field forms a circular sector with home plate as thecenter. (See the figure at the top of page 681.) The fence is placed at a uniform distance of2130 ft from home plate. The boundaries of the fence, which extends partway into foulterritory, create an angle of 110 degrees with home plate. At $21 per foot, how much willthe fence cost? (Round to the nearest $10.)

Sagot :

The Solution.

Representing the problem in a diagram, we get

To find the length of the boundaries of the fence, we shall use the formula below:

[tex]\begin{gathered} \text{Length}=\frac{\theta}{360}\times2\pi r \\ \text{Where }\theta=110^o \\ \pi=3.14 \\ r=2130\text{ ft} \end{gathered}[/tex]

Substituting these values in the formula, we get

[tex]\begin{gathered} \text{Length}=\frac{110}{360}\times2\times3.14\times2130 \\ \\ \text{ =}\frac{11\times3.14\times2130}{18}=4087.23\text{ fe}et \end{gathered}[/tex]

We were told that each foot cost $21.

So, the cost of the fence is

[tex]\frac{4087.23}{21}=\text{ \$194.63}\approx\text{ \$190}[/tex]

Therefore, the correct answer is $190

View image EliceoE278147
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.