Question

How many feet tall is the building ​

Answer 1

Answer:

Height of the building = 77 ft.

Step-by-step 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 + $\frac{3}{12}$ 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,

$\frac{AB}{ED}= \frac{BC}{DC}$

$\frac{h}{5.25}=\frac{55}{3.75}$

h = $\frac{55\times 5.25}{3.75}$

h = 77 ft

Therefore, height of the building will be 77 ft.