Question

Use the information in the diagram to determine the height of the tree. The diagram is not a scale

Answer 1

In the given diagram, we can note that the tree divides the hypotenuse of the triangle as well as the side where the tree is based into halves.

In a triangle, when a line is drawn joining between the midpoints of two sides, this line is always parallel to the third side and equals half its length.

Applying this concept to the given diagram here, we will find that the tree is joining the midpoints of two sides of the triangle. this means that the tree is parallel to the building and the height of the tree is half the height of the building.

Therefore:
height of tree = 0.5 * 120 = 60 ft