martinezdiana65 martinezdiana65

15-03-2017
Mathematics

Answered

A triangular plot of land has sides 205 m, 195 m, and 120 m. Find the measure of the smallest angle.

A)25.6°

B)34.8°

C)55.2°

D)77.2°

Verified Answer :

taskmasters taskmasters

22-03-2017

Using Law's of Sine and with the given three sides of the of the triangle, we can solve for the smallest angle. The smallest angle is opposite of the smallest side. Solution is below:
a=120, b= 195 and c=205
cos A = (B²+C²-A²)/2BC
A=inverse (195²+205²-120²/2195205)
A=inverse 0.8211
A=34.8°
Therefore, the answer is letter B which is 34.8°.

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