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
castortr0y [4]
3 years ago
5

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 88 feetfeet less than th

e length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 1616 feet.
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer: The length of the ladder is 20 feet.

Step-by-step explanation:

Given : A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder.

Mathematically,

Let x be the length of the ladder then

Distance from ground to the top of the ladder = x- 8

If distance from the bottom of the ladder to the building is 16 feet.

Since ground makes right angle with building , so the triangle made by ladder should be a right triangle.

By Pythagoras theorem of right triangle , we hae

(Hypotenuse)=(Perpendicular)^2+(Base)^2

\Rightarrow\ x^2=(x-8)^2+16^2\\\\\Rightarrow\ x^2=x^2+64-16x+256\ [\text{Using identity :} (a-b)^2=a^+b^2-2ab]\\\\\Rightarrow 0=-16x+320\\\\\Rightarrow\ 16x=320\\\\\Rightarrow\ x=\dfrac{320}{16}=20

Hence, the length of the ladder is 20 feet.

You might be interested in
I am in middle school
Verizon [17]

Answer:

nice

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If x = -6,which inequiality is true
zimovet [89]

The only equation that works with x=-6 is A

7 0
2 years ago
Write the slope-intercept form of the equation of the line.<br> slope = 1, y, int = -2
choli [55]

Answer:

y = x - 2

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 1

y-intercept <em>b</em> = -2

<u>Step 2: Write linear function</u>

y = x - 2

8 0
3 years ago
Read 2 more answers
What do the grid boxes in a punnett square represent?.
san4es73 [151]

Answer:

All the possible allele combinations in the offspring.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).
Elena-2011 [213]

\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16

8 0
3 years ago
Other questions:
  • Afton made a chicken dish for dinner. She added a 10 ounce package of vegetables and a 14 ounce package of rice to a 40 ounces o
    11·2 answers
  • Parallel and perpendicular Lines faqing help me
    6·1 answer
  • Can someone plese help me count my bobux please i have 4 but i dont now how to count it all
    15·1 answer
  • What is the point of a pythagorean theorem?
    6·1 answer
  • John has 260. Apples 1/2 of the apples are green and 1/4. Of the apples are bad. The rest of the apples are red How many red app
    7·1 answer
  • If y = (x-5)(x+7) then what does x equal?
    14·1 answer
  • How do I factor this?<br><br> cos^4x - sin^4x
    7·2 answers
  • What is the answer???
    15·1 answer
  • Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint
    5·1 answer
  • Solve for x please help me
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!