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Solve using law of sines, find the area of wxy.

Solve using law of sines, find the area of wxy.-example-1
User Dzikoysk
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1 Answer

10 votes

Answer:

area = 828.27 cm²

Explanation:

add a line from X, perpendicular to WY, call this point A.

angle Y = 180 - 33 - 121 = 26 degrees

sin 26 = XA/49

0.4384 = XA/49

XA = 21.48 which is the height of the triangle

cos 26 = YA/49

0.8988 = YA/49

YA = 44.04

tan 33 = 21.48/WA

0.6494 = 21.48/WA

WA = 33.08

YW = 77.12

(YW)(XA)(0.5) = area

(77.12)(21.48)(0.5) = area = 828.27 cm²