Question

If slope m = 1 is tan 45° what is slope m = 2 ?​

Answer 1

Answer:

63.43 degrees or 1.107 rad

Step-by-step explanation:

If you have a triangle of two angles to be 45° and the other 90° (a right angled  isosceles triangle), you take the tangent of one of the acute angles and it always turns out to be 1 as the opposite and adjacent sides are equal (ratio of two equal stuff is 1).

But if you want the slope to be 2, the opposite side could be 2 units and the adjacent side 1 unit (for simplicity).

Now the tangent of that angle (say α) is $\frac{2}{1}$

So,

$\alpha = arctan(2)\\\alpha = 1.107 rad$

= 63.43 degrees