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 th
e fences of the three sides will meet.
Rounding each angle to the nearest degree: m<A=___degrees
Rounding each angle to the nearest degree: m<A=___degrees
1 answer:
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°
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°
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Answer:
<h2>The measure of angle KJL is 40°.</h2>Step-by-step explanation:
Givens
Notice that
, by definition sum of arcs.
Replacing given values, we have
Which means
Notice that arc KP is the subtended arc by angle KJL.
We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.
Therefore, the measure of angle KJL is 40°.