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 Area of A Triangle Using Law of Sines (Trigonometry)

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In the middle of town, State and Elm streets meet at an angle of 40º. A triangular pocket park between the streets stretches 100 yards along State Street and 53.2 yards along Elm Street. The area of the pocket park to the nearest tenth of a square yard is ____ square yards. 

 

 Sep 26, 2014

Best Answer 

 #1
avatar+23252 
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One formula for the area of a triangle is: Area = ½·a·b·sinC

where C is the angle between the two sides a and b.

In this problem, a = 100, b = 53.2, and C = 40°.

Area =  ½·100·53.2·sin40°     -->      Area = 1700 (rounded)

 Sep 26, 2014

1+0 Answers

 #1
avatar+23252 
+5
Best Answer

One formula for the area of a triangle is: Area = ½·a·b·sinC

where C is the angle between the two sides a and b.

In this problem, a = 100, b = 53.2, and C = 40°.

Area =  ½·100·53.2·sin40°     -->      Area = 1700 (rounded)

geno3141 Sep 26, 2014

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