triangles: How far away can he stand staying in the shade?

[tseday871221]

A store is 30 feet tall and casts an 8-foot shadow at 3:00pm. If someone is 5' 6" tall and is working at 3:00pm, how far from the building can that person stand and still be in the shade?

 

[TchrWill]

Re: triangles

a store is 30 ft tall and casts an 8ft shadow at 3:00pm. if someone is 5'6" tall and is working at 3:00pm, how far from the building can that person stand and still be in the shade?

Let x = the distance the person stands from the building.

Then, 8/30 = (8 - x)/5.5

Solve for x.

 

[soroban]

Re: triangles: How far away can he stand staying in the shad

Hello, tseday871221!

A store is 30 feet tall and casts an 8-foot shadow at 3:00 pm.
If someone is 5' 6" tall and is working at 3:00 pm,
how far from the building can that person stand and still be in the shade?

Here's the diagram for TchWill's excellent solution.

                            *
                          / |
                        /   |
                      /     |
                    /       |
                  *         |30
                / |         |
              /   |         |
            /     |5.5      |
          /       |         |
        /         |         |
      * - - - - - * - - - - *
      :    8-x    :    x    :
      : - - - -  8  - - - - :