Dyani throws a ball to​ Edgar, who is 8 m away. When Edgar catches the​ ball, he turns 55 degrees and then throws the ball 10 m to Hana. What angle does Hana turn to throw the ball to​ Dyani?

Answer 1

use laws of cosine to determine the distance between Hana and Dyani (c)

c² = a² + b² - 2abcos(A)

c² = 8² + 10² - 2(8)(10)(cos55°)

c = 8.49869 m

Now using laws of sine,

sinA/a = sinC/c

Sin A = (sin(55) x 8) / 8.49869

A= 50.45º

Answer 2

Use Law of Cosines to determine distance from Hanna to Dyani.

Use that distance and Law of Sines to determine the angle.