Answer the following questions based on the graphic given below.

The person casts a shadow _ feet long.
The building casts a shadow _ feet long.
The ratio of the person’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.

(I'm not sure what the last question meant by "the other side of the building". I assume it means the height of the building? 2 feet tall seems a bit short for a person though, but that would be correct since the building's height is 2/3 of the shadow's length, and 2/3 of the person's shadow length, 3, is 2 feet)

MrRoyal MrRoyal · Answer 2 · 2022-05-02T12:19:52+02:00

The building, the person and their shadows form a right triangle; The texts that complete the blanks are 3 feet long, 15 feet long, 1 to 5 and 2 feet tall.

What is a right triangle?

A right triangle is a triangle that has an angle of 90 degrees

From the question, we have the following highlights:

Person's shadow = 3 feet
Building's shadow = 15 feet

So, the ratio of the person’s shadow to the building’s shadow is

Ratio = 3 feet : 15 feet

Simplify

Ratio = 1 : 5

When the building's height is 10 feet, we have:

Person : 10 feet = 1 : 5

Multiply by 2 feet

Person : 10 feet = 2 feet : 10 feet

By comparison, we have:

Person = 2 feet

Hence, if the other side of the building is 10 feet tall, the person will be 2 feet tall.