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mamaluj [8]
3 years ago
6

A rectangular barn measuring 14 feet b 10 feet is located in one corder of a fenced area. Robert ties his cow to the corner of t

he barn so the animal can graze anywhere within the circular area outside the barn and fence. If the cow is tied with a 24 ft rope, approximately how much grazing area does the cow have?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
For this problem you would be solving for the area of 3/4 of a circle with the radius being 24ft. So area of a circle is a= PI R squared so plug in 3.14(24)squared order of operations says to square first so 24 squared is 576. Then PI or 3.14 times 576 equals 1808.64
Now because it is only 3/4 of a circle you wil multiply the answer by 3/4 which is 1,356.48 ft. So the Cow has 1,356.48 Ft of grazing area.
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<h3>Answer:  24 feet  (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

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Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

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