Question

find the angle made by the line joing A(1,3) and B(4,5) with x axis ​

Answer 1

Answer:

A(1,3)

B(4,5)

tan θ = y2 - y1 / x2 - x1 = 5 - 3 / 4 - 1

tan θ = 2/3

θ = tan^(-1) ×(2/3)

Answer 2

The angle made by the line joining A(1,3) and B(4,5) is 33.7 degrees.

• Let us first find the slope of the joining line of the points A and B
• The slope of a line = (Difference in ordinate/Difference in abscissa)
• So the slope of the joining line between A(1,3) and B(4,5) is $\frac{5-3}{4-1}$  
• On simplification we get the slope as 2/3
• Now we know that this value is the tangent of the angle made by the joining line with the x axis
• Let the angle be z. Hence tan(z) = 2/3
• Now applying inverse tangent operator we get the value of z as 0.37 radians which is approximately equal to 33.7 degrees
• Hence the required angle is 33.7 degrees