. Two people are standing next to each other on horizontal ground. One is 5 feet tall, and the other is 6 feet tall. The shadow of the person who is 6 feet tall is 3 feet shorter than twice the length of the shadow of the person who is 5 feet tall. How long is the shorter person’s shadow? Show work, and express your answer using a complete sentence including units.

3.75 feet.

Step-by-step explanation:

Given:

Two people are standing next to each other on horizontal ground.

One is 5 feet tall, and the other is 6 feet tall.

The shadow of the person who is 6 feet tall is 3 feet shorter than twice the length of the shadow of the person who is 5 feet tall.

Question asked:

How long is the shorter person’s shadow?

Solution:

Let the shadow 5 feet person =

As given, shadow of 6 feet person is 3 feet shorter than twice the length of the shadow of 5 feet person.

Then, the shadow 6 feet person =

Now, as we know:

Ratio of the shadow of two objects are in proportion of their heights, so:-

=

By cross multiplication:

Subtracting both sides by

Adding  both sides by minus

Dividing both sides by 4

shadow 5 feet person = = 3.75 feet

Therefore, shadow of the shorter person is 3.75 feet.

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