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- anonymous

On a road trip you and your family stop a truck stop to take a break and to let your puppy Fido stretch. You notice that they have a triangular dog park that is fenced in on two sides. The third side of the field is formed by a creek. If the fences measure 150 feet and 98 feet, and the side along the creek is 172 feet, what are the measures of the angles made by the dog park?
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- anonymous

- katieb

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- anonymous

- RadEn

use the cosine rule :
|dw:1367658839969:dw|
cosY = (DY^2 + YG^2 - DG^2)/(2 DY DG)
cosY = (150^2 + 98^2 - 172^2)/(2 * 150 * 98)
simplipy the calculations above, then to get the measure of angle Y take the cos^-1(....)

- anonymous

y is 85

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- anonymous

D 35????

- RadEn

yeah, i got Y = 85 (nearest)

- RadEn

to got D, use the sine rule
y sinD = d sinY
172 sinD = 98 sin85
sinD = 98 sin85/172 = 0.568
D = sin^-1(0.568) = 34.59... (take nearest = 35)
u were right :)

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