You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. you are standing on a platform, which places your eyes at 6.5 feet. what is the distance from your eyes to the stage

The distance from your eyes to the stage is 8.85 ft

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

Observe the attached image.

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

Where

therefore:

b

the cost of the pair of pants is $31.95