anonymous
  • anonymous
Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences.
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
I will fan and medal
anonymous
  • anonymous
taramgrant0543664
  • taramgrant0543664
The first thing you have to do is determine the angle of the mirror you know that Paul is 5 feet away from the mirror and Paul is 6 feet so you can determine the angle (let's say we will represent this angle as M as it's the angle with the mirror) so the equation is tanM=opposite over adjacent so tanM=6/5

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

taramgrant0543664
  • taramgrant0543664
Then since we will have the angle and we know that Paul is 25 feet away from the house we can do sort of the same thing as we did above (I will represent the height of the house with the variable H) we can use the same equation as above so we will get: tanM=H/25
anonymous
  • anonymous
ok
anonymous
  • anonymous
soo what would be the answer im sorry i dont have a calculaor with me
radar
  • radar
similar triangles, I am guessing the house is 30 ft to the tip of the house.
taramgrant0543664
  • taramgrant0543664
The house would be 30ft

Looking for something else?

Not the answer you are looking for? Search for more explanations.