Problema Solution
Ken wants to find the height of a building, but realizes that the building is too tall to measure directly. He decides to have a friend measure his shadow and the shadow of the building.
A.Ken is 6 feet tall and his shadow is 4 feet long. The shadow of the building is 10 feet long. Make a sketch of this situation in the space at right.
B.How can Ken use similar triangles to find the height of the building?
C. Find the height of the building. Show your work in the space to the right. Then check your answer in the Gizmo.
Building height =
Answer provided by our tutors
currently we don't have an option to make drawings thus we will only find the height of the building
the right triangle formed from the building and its shadow is similar to the right triangle formed from Ken and his shadow
let h = the height of the building
6 : 4 = h : 10
h = (6*10)/4
h = 15 ft
the height of the building is 15 feet.