Question

A 15 foot 7 inch tall tree casts a shadow of 48.4 inches. How tall is the deer next to the tree (in FEET) if it’s shadow is 12.3 inches? (pay attention to the units!) (1 foot = 12 inches)

Answer 1

Answer: 3.83

Explanation:

First, let's convert the height of the tree from feet to inches. 15 feet is equal to 15 * 12 = 180 inches.

So, the tree casts a shadow that is 48.4 / 180 = 0.266 of its height.

Let x be the height of the deer in inches.

The shadow of the deer is 12.3 / x = 0.266.

Cross-multiplying gives us x = 12.3 / 0.266 = 46 inches.

Since 1 foot is equal to 12 inches, the height of the deer in feet is 46 / 12 = 3.83 feet.