SOLUTION: Please help with this word problem: Let P be the acute angle formed by the line -x+4y=12 and and the x-axis. What is the approximate measure of angle P?

Algebra ->  Triangles -> SOLUTION: Please help with this word problem: Let P be the acute angle formed by the line -x+4y=12 and and the x-axis. What is the approximate measure of angle P?      Log On


   

Question 973689: Please help with this word problem:
Let P be the acute angle formed by the line -x+4y=12 and and the x-axis. What is the approximate measure of angle P?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let P be the acute angle formed by the line -x+4y=12 and and the x-axis. What is the approximate measure of angle P?
Solution:
First, express the equation of the line in the form y = mx + b.
-x + 4y = 12
4y = x + 12
y+=+x%2F4+%2B+3
The slope of the line is m = 1%2F4
Let x = degree measure of the acute angle.
Hence,
tan%28x%29+=+1%2F4
Get the tangent inverse of 1%2F4 using the inverse trig button of the calculator.
Answer: highlight%2814.0362%29 degrees