1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
3 years ago
10

You're concerned that your neighbor's backyard flagpole may fall over in heavy winds (it looked really wobbly during the last th

understorm), and you're hoping it doesn't fall over and hit your house. One afternoon, you notice that the four-foot high chain-link fence is casting a shadow seven feet long, while the neighbor's pole is casting a shadow 26 feet long. The base of the pole is 18 feet from your house. Is your house safe?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

Yes you can have some peace of mind, because your house is safe. Since, the flagpole is only 14.85 feet, is shorter than the 18 feet of distance from its base to your home.

Step-by-step explanation:

What you need to do is to estimate the height of the pole using its shadow, and the relationship between the height of the fence and it respective shadow:

  • <em>For a rectangle triangle, the proportion of its shorter sides are constant</em>.
  • <em>The shadows of the fence and of the pole, both form two rectangle triangle.</em>
  • <em>The first triangle</em>, the smaller one, <em>has a base of 7 feet</em> (the shadow of the fence), <em>and a height of 4 feet</em> (the corresponding height of the fence)
  • <em>The second</em> one, a bigger one, <em>has a base of 26 feet</em> (the shadow of the flagpole), <em>and an unknown height</em> (the height of the pole that its worrying you).
  • Then, as stated, the proportion for both triangles remains constant. So: \frac{4feet}{7feet}=\frac{x}{26feet}, where<em> x is the height of the pole.</em>
  • x is solved as: x=\frac{4feet*26feet}{7feet}=14.85feet. Meaning that the flagpole has 14.85 feet of height.
  • Then when the height is compared to the distance from its base to your home, it is found that the pole is shorter then, there is no risk of the pole falling into your house.  

You might be interested in
What is a intersection
Archy [21]

Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

7 0
3 years ago
15. Explain Shane says a straight angle always has 180° degrees. Is he correct? Explain.
topjm [15]
I do not know bro. Have you tried
4 0
3 years ago
The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was tak
Annette [7]

Answer:

It could be c

Step-by-step explanation:

180

7 0
3 years ago
Read 2 more answers
WILL PICK BRAINLIEST!!!!!!
marissa [1.9K]

Answer:

1. 24

2. 30

3. 20

4. 12

5. 6

3 0
3 years ago
Please help! Billy just received $10 for his birthday and immediately spent $2.50 on a pack of baseball cards. He then wants to
Oduvanchick [21]

Answer:

1.5x = 7.5   (a)

Step-by-step explanation:

If Billy has $7.50 remaining, then he can buy x no. of boxes.

Each box costs $1.50

So, 1.5x = 7.5

6 0
2 years ago
Other questions:
  • I need help asap plz I will mark branlist
    12·2 answers
  • The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculato
    10·1 answer
  • Plz plz plz help plz plz
    7·1 answer
  • Find x. Assume that segments that appear tangent are tangent.
    14·1 answer
  • james bond rescues the queen, and saves £1,000,000 in gold bars. as a reward the queen gives him 15% of the gold. how much has h
    10·1 answer
  • sela put 6 times as many coins now as she had 4 months ago. if sela has 240 coins now, how many did she have 4 months ago
    13·2 answers
  • A new restaurant is having advertising flyers printed. The cost to design and lay out the flyer is $300. There is an additional
    9·1 answer
  • Three students share 28 pencils equally.how many pencils does each person get?
    11·1 answer
  • MATH HELP PLEASE WILL GIVE BRAINLIEST!
    15·2 answers
  • I am about to take a 2020-2021 math grade 5 unit 2 part 2 assessment what should i do?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!