What is the measure of angley to the nearest whole degree? 58° 64° 68° 73°
1 answer:
Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°
<h3>What is the Law of Cosine:</h3>Law of cosines is given as: y² = x² + z² – 2xz(cosY)
Given the following:
x = 12
y = 16
z = 17
Y = ?
Apply the law of cosines:
16² = 12² + 17² – 2(12)(17)(cosY)
256 = 433 - 408(cos Y)
256 - 433 = -408(cos Y)
-177 = -408(cos Y)
-177/-408 = cos Y
Y = cos^(-1)(177/408)
Y ≈ 64°
Learn more about law of cosines on:
You might be interested in
Check the picture below.
