Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters will she need to walk forward for the tip of her shadow to be directly in line with Adam's? Round to the nearest hundredth.

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam Cara

height = 159 cm height = 140 cm

shadow = 105 cm shadow = x

Process

1. - To solve this problem use the Thales' theorem

Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

x / 140 = 105 / 159

-Solve for x

x = 105 (140) / 159

-Simplification

x = 14700 / 159

x = 92.45 cm

Cara's shadow is 92.45 cm long.

2. - If both shadows are in line, then Cara must walk forward

105 - 92.45 cm

12.55 cm