Angles made by the line with the positive direction of X-axis
are given. Find the slope of these lines.
i) 45° ii) 60° iii) 90°
Answers
Step-by-step explanation:
i. Angle made with the positive direction of X-axis (θ) = 45° Slope of the line (m) = tan θ ∴ m = tan 45° = 1 ∴ The slope of the line is 1. ii. Angle made with the positive direction of X-axis (θ) = 60° Slope of the line (m) = tan θ ∴ m = tan 60° = √3 ∴ The slope of the line is √3 iii. Angle made with the positive direction of X-axis (θ) = 90° Slope of the line (m) = tan θ ∴ m = tan 90° But, the value of tan 90° is not defined. ∴ The slope of the line cannot be determined.Read more on Sarthaks.com - https://www.sarthaks.com/856141/angles-made-the-line-with-positive-direction-axis-given-find-slope-these-lines-45-60-iii
Answer:
i. Angle made with the positive direction of
X-axis (θ) = 45°
Slope of the line (m) = tan θ
∴ m = tan 45° = 1
∴ The slope of the line is 1.
ii. Angle made with the positive direction of
X-axis (θ) = 60°
Slope of the line (m) = tan θ
∴ m = tan 60° = √3
∴ The slope of the line is √3
iii. Angle made with the positive direction of
X-axis (θ) = 90°
Slope of the line (m) = tan θ
∴ m = tan 90°
But, the value of tan 90° is not defined.
∴ The slope of the line cannot be determined.
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