SOLUTION: How do i find the degree measurement of an acute angle? short leg=5 long leg=20 hypotenuse=x

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Question 420505: How do i find the degree measurement of an acute angle?
short leg=5
long leg=20
hypotenuse=x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the degree measurement of an acute angle?
short leg=5
long leg=20
hypotenuse=x
----
x^2 = 5^2 + 20^2 = 425
---
x = 5sqrt(17)
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Let A be angle opposite short leg
Let B be angle opposite long leg
Let C = 90 degrees
----
tan(A) = 5/20 = 1/4
A = tan^-1(1/4) = 14.036 degrees
---
B = 90 - 14.036 = 75.964 degrees
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Cheers,
Stan H.
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