Part 1: Prove the triangles are similar.
Part 2: Determine the height of the house

Question

Part 1: Prove the triangles are similar.
Part 2: Determine the height of the house

anonymous · Answer

attachment

ganeshie8 · Answer

It is given that the angles on either side of mirror are congruent, so we have one congruent Angle pair. Also, the angles at foot of house and Annie are right angles, each equal to 90. so we have a second congruent Angle pair. Thus, by AA similarity the two triangles in hte diagram are similar.

ganeshie8 · Answer

for Part2, you must setup an useful proportion

anonymous · Answer

for step 2 whta?

anonymous · Answer

*what

ganeshie8 · Answer

when we have similar triangles,
wat we do ? we setup proportions !

ganeshie8 · Answer

:) lets try to setup some useful proportion, which gives us the height of house

anonymous · Answer

so figures that have the same shape are similar

anonymous · Answer

and similar figures are congruent

anonymous · Answer

congruent angles

anonymous · Answer

and matching sides are proportional ... thats what i know

ganeshie8 · Answer

$\large  \large \frac{5}{4} = \frac{x}{15}$

solve x,  x is the height of building

anonymous · Answer

x=18.75

ganeshie8 · Answer

yes !

anonymous · Answer

yay!!! thank you!

ganeshie8 · Answer

:)