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Please answer now correct answer fast

Please answer now correct answer fast-example-1
User Meroelyth
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1 Answer

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Answer:


Area = 112.1 m^2

Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines


(w)/(sin(W)) = (x)/(sin(X))

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?


(w)/(sin(24)) = (31)/(sin(130))

Multiply both sides by sin(24) to solve for x


(w)/(sin(24))*sin(24) = (31)/(sin(130))*sin(24)


w = (31*sin(24))/(sin(130))


w = 16.5 mm (approximated)


XY = w = 16.5 mm

Find the area of ∆WXY


area = (1)/(2)*w*x*sin(Y)


= (1)/(2)*16.5*31*sin(26)


= (16.5*31*sin(26))/(2)


Area = 112.1 m^2 (to nearest tenth).

User Dustin Poissant
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6.9k points