You are lying 120 ft away from a tree that is 50 feet tall You look up at the top of the tree Approximately how far is your hear from the top of the tree in a straight line?

imagine this as a triangle, with the distance between you and the top of the tree being the hypotenuse. one side of the triangle is 120 ft. (you to the bottom of the tree) at a 90 degree angle to this side is the tree itself (growing vertically from the ground), which is 50 ft tall..

From pythagoras' theorem, the sides of a right angled triangle are given by the formula

a^2=b^2+c^2

where a is the hypotenuse

hence a= square root of b^2+c^2

a=130 feet