Triangles unit test part 1 a length of rope is streched between the top edge of a building and a stake in the ground. the head of the stake is at ground level. the rope also touches a tree that is growing halfway between the stake and the building if the tree is 38 feet tall how tall is the building

The building is 76 feet tall

Step-by-step explanation:

Since the tree is halfway beween the stake and the building, then if D is the distance between the building (at ground level) and the stake, then the tree forms with the stake a rectangle triangle with base length equal to D/2 and Height equal to 38 feets.

The stake and the top of the buidling also form a triangle rectangle with base length equal to D. Since rectangle triangle preserve proportions, if we double the length of the base without changing the angle, then the heigth should also be doubled, and as a consecuence, the height of the building is 38*2 = 76 feets.

Answer & Step-by-step explanation:

x - height of the tree.

A proportion is:

1/2  : x = 1 : 36

x = 36 * 1/2

x = 18

Answer. the tree is 18 feet tall.