Question

Find to the nearest degree, the measure of an acute angle formed by the x-axis and the line containing the points (4,3) and (8,9).

          Find to the nearest degree, the measure of an acute angle formed by the x-axis and the line containing the points (4,3) and (8,9).
        

Added by Celia S.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find to the nearest degree, the measure of an acute angle formed by the x-axis and the line containing the points (4,3) and (8,9).
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Transcript

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00:01 So here the given question says to find out the angle of inclination that is data, which was formed between the x -axis and intersection of line for ab.
00:16 They have given a coordinate for this line that is minus 2 comma 2 and 8 .9.
00:24 Which is we need as x1, y1, x2, y2.
00:31 By using the slow formula, we can easily find out the, angle of inclination slope of ab which is equal to y2 minus y1 divided by x2 minus x1 just substitute the given values here so the y2 value is 9 minus 2 divided by x2 2 divided by 8 minus minus of 2 it will become 7 divided by 10 that's the way we have found the slope of ab next, the other formula is tan theta is equal to slope of ab.
01:11 We have to find out the theta value right? so theta is equal to tan inverse of slope of ab...
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