A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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.
anonymous
 one year ago
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.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I will fan and medal

taramgrant0543664
 one year ago
Best ResponseYou've already chosen the best response.1The 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

taramgrant0543664
 one year ago
Best ResponseYou've already chosen the best response.1Then 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
 one year ago
Best ResponseYou've already chosen the best response.0soo what would be the answer im sorry i dont have a calculaor with me

radar
 one year ago
Best ResponseYou've already chosen the best response.0similar triangles, I am guessing the house is 30 ft to the tip of the house.

taramgrant0543664
 one year ago
Best ResponseYou've already chosen the best response.1The house would be 30ft
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.