Question

Q40. A person 6ft tall casts a shadow 8ft long. At the same time, a building casts a shadow 36 ft long. How tall is the building?

A. 72 ft
B. 24 ft
C. 48 ft
D. 27 ft

Answer 1

D

Explanation:

Given: A person `6` ft tall casts a shadow `8` ft long. A building casts a shadow `36` ft long. How tall is the building?

Use proportions: `(6" ft tall")/(8" ft long shadow") = (x" ft tall")/(36" ft long shadow")`

Use the cross product to solve: `a/b = c/d; " " a*d = b*c`

`6 * 36 = 8x`

`216 = 8x`

`x = 216/8 = 27` ft tall