Question

Question 4 Essay Worth 10 points) (05 03 MC) Sarah walks 20 feet away from her house and places a mirror on the ground. She backs 5 feet away from the mirror so that she can see the tip of the roof Sarah's eyes are 4 feet above the ground Sarah and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Sarah'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

Answer 1

Aus- house UHT 8 5 feet 20 feet Sarah walk 20 feet away from her house and placed a mirror, so we can mirror is 20 feet away from house placed Look at triangle ABC let LBC= 0 CA BC FLOBE (given) it is a right angled triangle so we can write

at ano AC perpendicular base CB tano = 1 o = tan-? (4 - 0 Now look at triangle DBE. let height of house ish tano e u 20 From tan (tan-2 (45)) = 2 h= 2014 n = 16 feet Answer