Question

What is the length of the shadow cast by a 5 ft. woman at the same time of day when an 83 ft. building casts a shadow that is 108 ft. long?

A) 6.25 ft.
B) 5.63 ft.
C) 4.32 ft.
D) 3.88 ft.

Answer 1

The length of the shadow cast by a 5 ft. woman is 6.25 ft.

Step-by-step explanation:

To find the length of the shadow cast by the 5 ft. woman, we can set up a proportion using the height of the woman and the length of the building's shadow:

Shadow length of woman / Height of woman = Shadow length of building / Height of building

Let x be the length of the woman's shadow. Using the given values, we have:
x / 5 ft = 108 ft / 83 ft

Cross-multiplying and solving for x, we get:

x = (5 ft * 108 ft) / 83 ft = 6.25 ft

Therefore, the length of the shadow cast by the 5 ft. woman is 6.25 ft.