SOLUTION: Right Triangle; Solve ABC; A=35 degrees, C=16

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Question 678446: Right Triangle; Solve ABC; A=35 degrees, C=16
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
right triangle ABC
< A=35 degrees, hypotenuse c=16
to find: a and b

since triangle is right triangle < C=90degrees, and <
B=90-35=55degrees
use
sin+%28A%29+=+a%2Fc and sin+%28B%29+=+b%2Fc

sin+B+=+b%2Fc to find a and b
sin+%2835%29+=+a%2F16
sin+%2835%29%2A16+=+a
0.573576%2A16+=+a
highlight%289.177216+=+a%29

sin+%2855%29+=+b%2F16
sin+%2855%29%2A16+=+b
0.819152%2A16+=+b
highlight%2813.106432+=+b%29
now we can use Pythagorean theorem and check our solutions:
c%5E2=a%5E2%2Bb%5E2
16%5E2=9.177216%5E2%2B13.106432+%5E2
256=84.221293510656%2B171.778559770624
256=255.99985328128
256=256