SOLUTION: Angle A of a right triangle ABC has a measure of 57 degrees. Side BC is perpendicular to side AC. The length of AB is 84cm. Find the length of AC.
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Question 1033497: Angle A of a right triangle ABC has a measure of 57 degrees. Side BC is perpendicular to side AC. The length of AB is 84cm. Find the length of AC. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Angle A of a right triangle ABC has a measure of 57 degrees.
Side BC is perpendicular to side AC. The length of AB is 84cm.
Find the length of AC.
:
Find the 3rd angle: 180 - 90 - 57 = 33 degrees is angle B opposite side AC (b)
Use the sine
sin(33) =
b = sin(33) * 84
b = 45.75 cm is side AC