Question

find the angle made by a line joining A(1,3) and(4,5) with X-axis

Answer 1

Answer:

60

Step-by-step explanation:

line join by x axis

height 5

base 4

by measureing angle

it is 60

Answer 2

The angle made by a line joining A(1,3) and B(4,5) with X-axis=33.8 degree

Step-by-step explanation:

Let a line made by joining the points A(1,3) and B (4,5)  and makes an angle x with x-axis.

Slope formula :$m=\frac{y_2-y_1}{x_2-x_1}[$

Using the formula

Slope of the line=$m=\frac{5-3}{4-1}=\frac{2}{3}$

We  know that

$m=tan\theta$

Using the formula

$tanx=\frac{2}{3}$

$x=tan^{-1}(\frac{2}{3})$

$x=tan^{-1}(0.67)=33.8^{\circ}$

Hence, the angle made by a line joining A(1,3) and B(4,5) with X-axis=33.8 degree.

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