In triangle ABC, angle C is 90 degrees. AC = 2, AB = √5. Find the tangent B.

First you need to draw a triangle in which the angle C is 90 degrees. Then mark on it the data we know: AC = 2, AB = √5.
As you know, the tangent is the ratio of the opposite leg to the adjacent leg, i.e. for angle B there will be such a ratio: AC / BC.
We do not know the sun. Let’s find it by the Pythagorean theorem. BC = √5-4, BC = 1.
Now we substitute the data into the formula, we get: tgB = 2/1 = 1
Answer: 1