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Tema [17]
3 years ago
6

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, whic

h takes the ball back to the starting point. What angles are formed by these tosses. Step by Step explanation.. Please
Mathematics
1 answer:
algol133 years ago
3 0

Answer:

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

Step-by-step 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.

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