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16 votes
Find AE. Round the answer to the nearest tenth.

A 9.7
B. 13.5
C. 16.1
D. 17.3

Find AE. Round the answer to the nearest tenth. A 9.7 B. 13.5 C. 16.1 D. 17.3-example-1

1 Answer

14 votes

AE= 17.4 to nearest tenth

Explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

User Robbie White
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