A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60° with the horizontal

Let’s denote the height of the tree as “h”. We can draw a right-angled triangle, where the base of the triangle is the distance from the treetop to the base of the tree, the height of the triangle is the height of the tree, and the angle between the base and the hypotenuse of the triangle is 60 degrees.

From the triangle, we can see that:

tan(60°) = h/20

tan(60°) is equal to √3, so we can simplify the equation to:

√3 = h/20

Multiplying both sides by 20, we get:

h√3 = 20√3

Dividing both sides by √3, we get:

h = 20

Therefore, the height of the tree is 20 meters.