70019906
Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A person is standing on top of a six foot platform, looking down into a mirror. The person can see the top of the flagpole in the mirror. How tall is the flagpole? Use similar triangles to solve for the height. Explain your procedure.

A Person Is Standing On Top Of A Six Foot Platform Looking Down Into A Mirror The Person Can See The Top Of The Flagpole In The Mirror How Tall Is The Flagpole class=

Sagot :

Answer:  The flagpole is 16 feet tall

==========================================================

Explanation:

The small markings for the angles in the diagram help us see how the angles pair up and how those pairs are congruent.

The square angle markers indicate we have 90 degree angles (aka right angles). That's one pair of congruent angles.

The other pair are the angles marked with small curves. We don't need to worry about the angle measure of these. All we care about is we have a second congruent pair of angles.

Having 2 sets of congruent angles allows us to use the AA (angle angle) similarity theorem.

The similar triangles allow us to set up the proportion below and isolate x.

-------------------

Let's solve for x.

6/x = 4.5/12

6*12 = x*4.5

72 = 4.5x

4.5x = 72

x = 72/(4.5)

x = 16

The flagpole is 16 feet tall.

This is somewhere between a 1 and 2 story building in terms of height.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.