SOLUTION: Please help me with this question: the lengths of the sides of a triangular garden are 32 feet,24 feet,and 40 feet. What are the measures of the angles formed on each side of the

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Question 741467: Please help me with this question: the lengths of the sides of a triangular garden are 32 feet,24 feet,and 40 feet. What are the measures of the angles formed on each side of the garden? ...
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let check first is it right angle triangle:
40%5E2=32%5E2%2B24%5E2
1600=1024%2B576
1600=1600
so, it is right angle triangle
now we know that we can use trigonometric function for right angle triangle to find angles
since hypotenuse is 40, opposite angle will be C=90 degrees
sin+%28A%29+=+24%2F40
sin+%28A%29+=+0.6
A=36.87 degrees
then B=180-%2890%2B36.87%29 degrees
B=180-126.87 degrees
B=53.13 degrees