if the slope of the line passing through the two points (2, 5) and (5,8) is represented by tan theta (where 0 degrees < theta < 90 degrees) in trigonometry, then find the angle 'theta'
if the slope of the line passing through the two points (2, 5) and (5,8) is represented by tan theta (where 0 degrees < theta < 90 degrees) in trigonometry, then find the angle 'theta'
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Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
x1y1(2,5)
x2y2(5,8)
slope =(8-5)/(5-2)
=1
tan theta =1
hence theta is 45
Answer:
45°
Step-by-step explanation:
A straight line can be expressed as Tan Theta which is called as slope of the line. It tells us how much the line is inclined from the x axis.
Slope = ( Difference of y coordinates ) / Difference of x coordinates
Given points are: ( 2,5 ) and ( 5,8 )
Difference of Y coordinates = 8 - 5 = 3
Difference of X coordinates = 5 - 2 = 3
Therefore Slope = 3 / 3 = 1
⇒ Tan Theta = 1
We know that, according to trigonometry, Tan Theta is 1 only when theta is 45 degrees. Therefore, the angle theta in the slope is 45°.
Hope it helped !!