Answer :
C= 85 degrees
/ \
/ \
a= 160 / \ b= 160
/ \
B /_________\ A
c
What you're looking for is c so you can add a, b, and c together to get the material. To do this you need to use this formula, otherwise known as Law of Cosines:
c^2 = a^2 + b^2 - 2abcosC
c^2 = 25600 + 25600 - (2)(160)(160)(cos85)
c^2 = 51200 - (51200)(cos85)
c^2 = 51200 - (-50400.084)
c^2 = 101600.084
c = 318.749
c + a + b = 638.749 or 639 ft if you're looking for a whole number
Keep in mind this answer is if what you're looking for is the perimeter, please let me know if it's the area you are looking for
/ \
/ \
a= 160 / \ b= 160
/ \
B /_________\ A
c
What you're looking for is c so you can add a, b, and c together to get the material. To do this you need to use this formula, otherwise known as Law of Cosines:
c^2 = a^2 + b^2 - 2abcosC
c^2 = 25600 + 25600 - (2)(160)(160)(cos85)
c^2 = 51200 - (51200)(cos85)
c^2 = 51200 - (-50400.084)
c^2 = 101600.084
c = 318.749
c + a + b = 638.749 or 639 ft if you're looking for a whole number
Keep in mind this answer is if what you're looking for is the perimeter, please let me know if it's the area you are looking for
The quantity of fencing material that would be needed for the triangular plot of land is 537.03 feet.
How much fencing material is needed?
The first step is to determine the length of the third side of the fence. The formula that can be used to determine the length of the third side is:
c² = a² + b² - 2abcosC
c² = 160² + 160² - (2 x 160 x 160)cos85
c² = 51,200 - 51200 x0.087
c = √47104
c = 217.03 feet
Total length of fencing material = 160 + 160 + 217.03 = 537.03 feet
To learn more about triangles, please check: https://brainly.com/question/22949981
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