SOLUTION: △ABC is a right triangle with right angle at ∠B . AB=42 cm BC=34 cm What is the measure of ∠A , to the nearest degree?

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Question 1079406: △ABC is a right triangle with right angle at ∠B .
AB=42 cm
BC=34 cm
What is the measure of ∠A , to the nearest degree?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

△ABC is a right triangle with right angle at ∠B .
AB=42cm
BC=34cm
first find hypotenuse AC
%28AC%29%5E2=%28AB%29%5E2%2B%28BC%29%5E2
%28AC%29%5E2=%2842%29%5E2%2B%2834%29%5E2
%28AC%29%5E2=1764%2B1156
%28AC%29%5E2=2920
AC=sqrt%282920%29
AC=54.04
AC=54
now use sin%28A%29=AB%2FAC
sin%28A%29=42%2F54
sin%28A%29=0.78
A=sin%5E-1%280.78%29
A=51.26°
to the nearest degree A=51°



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
△ABC is a right triangle with right angle at ∠B .
AB=42 cm
BC=34 cm
What is the measure of ∠A , to the nearest degree?
highlight_green%28matrix%281%2C3%2C+tan+%28A%29%2C+%22=%22%2C+34%2F42%29%29, so ∡A = highlight_green%28matrix%281%2C3%2C+38.99%2C+or%2C+39%5Eo%29%29

That's all....nothing else. Accept no other answer as it'll be WRONG!!