Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of 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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.