Question

A person casts a shadow 3 feet long. The building casts a shadow 15 feet long. The ratio of the petson's shadow to the building's shadow is ______ to ______. If the other side of the building is 10 feet tall, the person will be ______ feet tall.

Answer 1

The ratio of the person's shadow to the building's shadow is 1 to 5. The person is 2 feet tall.

Step-by-step explanation:

The ratio of the person's shadow to the building's shadow is 1 to 5. We can determine this ratio by dividing the length of the person's shadow (3 feet) by the length of the building's shadow (15 feet). So, the ratio is 1/5.

To find the height of the person, we can set up a proportion using the ratio of their shadow lengths and the height of the building. Let x be the height of the person. We have 3/15 = x/10. Cross multiplying, we get 15x = 3 * 10, which simplifies to 15x = 30. Dividing both sides by 15, we find x = 2. Therefore, the person is 2 feet tall.

Answer 2

1:5
2 feet long.

3 and 15 simplified equals 1 and 5. So if the building is 10 who's is double 5, then the person is 2.