Question

How many feet tall is the building ​

Answer 1

Height of the building = 77 ft.

Explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

≈ 5 feet +
`(3)/(12)` ft

≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

`(AB)/(ED)= (BC)/(DC)`

`(h)/(5.25)=(55)/(3.75)`

h =
`(55* 5.25)/(3.75)`

h = 77 ft

Therefore, height of the building will be 77 ft.