Question

A straight line has a slope of 2.08. Calculate the angle that the line makes with the x (horizontal) axis.

Answer 1

Answer:

The angle that the line makes with x-axis of of 64.3º.

Step-by-step explanation:

Equation of a line, and angle with the x axis:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope.

The angle that the line makes with the x axis is given by the angle which has tangent m, that is, $a = \tan^{-1}{m}$.

In this question:

We have that $m = 2.08$. So

$a = \tan^{-1}{2.08} = 64.3$

The angle that the line makes with x-axis of of 64.3º.