Figuring Out Angle Between Two Points

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To find the angle between the line connecting the points (9.9m, -10m) and (-10m, 1.8m) and the x-axis, the triangle formed has sides measuring 11.8m, 19.9m, and 23.135m. The cosine of the angle can be calculated using cos(a) = adjacent/hypotenuse, yielding cos(a) = 11.8/23.135. The sine can be calculated as sin(a) = opposite/hypotenuse, resulting in sin(a) = 19.9/23.135. A mistake was noted in the initial calculations, clarifying that the angle should be measured with respect to the x-axis rather than the y-axis. The correct angle can be determined using the corrected values.
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figuring out angle?

Homework Statement


consider 2 points on a graph with coordinates (9.9m,-10m) and (-10m,1.8m)
the length of the line that intersects the two points is equal to 23.135,,, the resulting triangle has measurements of 11.9, 19.9 and 23.135.

What is the angle between the line connecting the 2 points and the x axis. measured counter clockwise. answer in units of degreess


The Attempt at a Solution



when i try to find the cos(a)=11.9/23/135 i get cos(a) = .514

when i get the sin(a)= 19.9/23.135 = .860

my batteries on my graphing calculator just crapped out on me... I am not sure what a is equal to in both those equations.. I am thinkin they might be diff values unless i am goin crazy
 
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ooops nevermind i just got it... they were the same i was calculating with .154.. damn dyslexic habits
 
I believe you meant to say 11.8, not 11.9; also, it appears that the angle you are calculating is with respect to the y axis, but the problem asks for the angle with respect to the x axis.
 
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