The line AB has the equation y 13 4x What is the angle of C

The line AB has the equation y = 13 4x.

Solution

Solution:

Since AB and CD are perpendicular to eachother

therefore slope of CD = (-1) x 1/slope of line AB

since equation of line AB y = -4x +13

thus

slope of CD = (-1) * (-1/4)

= 1/4

Now

the angle of CD relative to the x axis = tan^-1 (1/4) = 14.07 degree

therefore

the angle of CD relative to the y axis = 90 -14.07 = 75.83 degree