when a ladder is rested against a tree, the foot of the ladder is 1 m from the base of the tree and forms an angle of 64° with the group. How far up the tree does the ladder reach.

2.05 meters

Step-by-step explanation:

Superimpose a triangle when drawing out the situation. The distance the ladder reaches up the tree is the side of the triangle opposite of the angle. The distance the ladder is from the tree is side adjacent to the triangle. We can use tangent to solve this.

Tan X = (opposite side) / (adjacent side)

Tan 64 = a/1

Tan 64 = a (anything over 1 is just itself)

2.050303842 = a (use tan on your calculator)