Question

A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to the nearest tenth)

A) 180.1 ft
B) 188.6 ft
C) 190.4 ft
D) 200.9 ft

Answer 1

The answer "D"

Explanation:

Answer 2

The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
D) 200.9 ft