Question

Brian wants to fence in his triangular plot of farm land that measures 1.1 by 1.5 by 2.2 miles. Determine the angles at which the fences of the three sides will meet.

Rounding each angle to the nearest degree: m<A=___degrees

Answer 1

m<A ≈ 115°

m<B ≈ 27°

m<C ≈ 38°

Explanation:

Edge2020

Answer 2

If you're going to get help, you may as well get help from an appropriate calculator. Many graphing calculators will solve triangles, as will stand-alone apps for phone or tablet.

The angle measures are ...
∠A = 115°
∠B = 27°
∠C = 38°


_____
You can use the Law of Cosines to solve for angle A, then the Law of Sines for the others.
A = arccos((1.5²+1.1²-2.2²)/(2*1.1*1.5)) = arccos(-1.38/3.3) ≈ 115°
C = arcsin(1.5/2.2*sin(115°)) ≈ 38°
B = 180° -115° -38° = 27°