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
Phantasy [73]
3 years ago
15

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

om the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

You might be interested in
I need help with this someone please
Alex
3/1 is your slope for that
7 0
2 years ago
Please help with this it’s 11 points
Evgesh-ka [11]

Answer:

Line means going on upto point but line segment means limited line

8 0
3 years ago
Read 2 more answers
Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi
Shtirlitz [24]

C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.


7 0
3 years ago
Read 2 more answers
duke and donna each have 10 coins. all coins are either dimes or quarters. duke has 5 quarters. donna has 60 c more than duke.ho
zepelin [54]
If duke has 5 quarters that means he has 5 dimes making a total of $1.75 
if donna has 60 cents more than him she has a total of $2.35 
to figure out the number of quarters she has just dived $2.35 by .25 cents 
she has 9 quarters and 1 dime.
5 0
3 years ago
Last month, there were `4` sunny days for every rainy day. If there were `30` days
Vanyuwa [196]

Answer:

6 rainy days

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Round 1627187 to the nearest ten?
    15·2 answers
  • A florist bought 268 roses, 74 tulips and some lilies. She bought a total of 390 flowers. The florist will buy five times as man
    15·1 answer
  • 12(x-2) + 3x = 1/2(x + 6) + 2
    15·1 answer
  • How is each function related to y=x? Graph the function by translating the parent function
    9·1 answer
  • What is a negative number times two positives numbers.
    6·2 answers
  • Was the ratio of 2:7 equivalent to
    6·2 answers
  • PLZZZZZZZZZZZZZZZZ HELP ME i begging YOUUUUU !!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • What’s the answer to 19=3w+7
    13·1 answer
  • How can your establish credit?
    9·1 answer
  • The number of cars in a parking lot are no more than 7.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!