Answer:
Height of building is 76 feets
Step-by-step explanation:
The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.
The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,
Distance of the stake from the building is 2x
Height of the tree = 38 feets
Height of the building = y feets
The triangles formed are similar triangles. Therefore,
38/x = y/2x
Cross multiplying
2x × 38 = x × y
xy = 76x
y = 76x/x = 76 feets
