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larisa86 [58]
3 years ago
8

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

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

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.

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