Question

Is there anyone that could help me ?

Answer 1

@yociyoci they are similar because their angles are similar ?

Answer 2

Sorry for the quality, I wasn't able to use the drawing function. So basically, you know that the angles perpendicular to the ground are 90 degress, since the two angles on the ground are the same, the other angle must be the same (90-x), x is the congruent angle

Answer 3

Yes, the angles are basically the same.

Answer 4

Once you know that they are similar, you'll just set of the ratio:
5/6 = height of the house /30

Answer 5

The angle of reflection from the normal is equal, therefore the angles from Peter's line-of-sight to the ground and the angle of the house top to the ground, angle a, is the same. There is also a right angle in each triangle. Therefore, the remaining angle is equivalent and they are similar.

The height h of the house can be determined using similarity:

5/6 = h/24

h=20 ft

Answer 6

Just in case you can not see the diagram -- see attached.

Answer 7

I think the total distance is 36, not 30 because in the question, it says that the mirror was place 30ft on the ground and then he backs up 6ft from the mirror

Answer 8

hmmmm @ybarrap @yociyoci

Answer 9

Yes, it should be 30 ft not 24.

Answer 10

5/6 = height of the house /30
height of the house=25ft

Answer 11

@yociyoci @ybarrap THANK YOU SO MUCCCCCH GUYS !!!!!!

Answer 12

No problem~ =D