Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can
see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
1 answer:
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
Thus, the house is 18.75 feet tall.
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Answer:
16 friends
Step-by-step explanation:
Right at the beginning, you can take the 2 chocolates Jack was left with out of the 50 chocolates Jack had at the beginning. That equals 48 chocolate bars, so we know that Jack gave his friends a total if 48 chocolates
Now that you have the number 48, you are really close to the answer.
If you know that he gave each if his friends 3 chocolates, you can make that into an equation and put it into a calculator. That would look like this:
The reason you do 48 ÷ 3 is because Jack divided his 48 chocolates into groups of 3 to give to each of the other kids.
You get the answer 16, which means the answer is 16 kids at his friend's birthday party.