Question

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, which takes the ball back to the starting point. What angles are formed by these tosses. Step by Step explanation.. Please

Answer 1

The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.

Explanation:

We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)

= 0.18310

X = 79.45 degrees.

We can now find another angle using the sine rule:

8.6 / sin 79.45 = 7.5/ sin Y

sin Y = (7.5 * sin 79.45) / 8.6

Y = 59.02 degrees

So the third angle = 180 - 79.45 - 59.02

= 41.53 degrees.