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
serious [3.7K]
3 years ago
11

If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott

om of the building?
Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

You might be interested in
What is the slope of the line that passes through (1, 4) and (1, −3)?
Mazyrski [523]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, 4) and (1, -3). Substitute:

m=\dfrac{-3-4}{1-1}=\dfrac{-7}{0}\qquad\boxed{!!!!}

DIVISION BY ZERO!!!

Answer: The slope is undefined.


It's a vertical line x = 1.

6 0
3 years ago
-(3x + y) + 2(x – 4y)?​
mylen [45]
22 is the correct answer
4 0
3 years ago
Which of the following equations represents a linear function?
andreyandreev [35.5K]

Answer:

B

Step-by-step explanation:

I chose the answer B because there is no there should be no exponents to make the answer linear

4 0
3 years ago
Read 2 more answers
While Hadley was looking through her math textbook she came across the words "inverse operations", but couldn't remember what th
egoroff_w [7]

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.




4 0
3 years ago
What is the algebraic expression of the price of s of shoes plus 5% sales tax
lukranit [14]
You have to find the price of the shoe
7 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the function f(x) = ax2 + bx +c (where a, b, and c are real and nonzero) has two x-intercepts. Explain how to find
    12·2 answers
  • THE PROBLEM: You have the chance to win $100! But, in order to win the money, you need to pick one of these two games options, a
    6·2 answers
  • The quotient is 5 and
    7·1 answer
  • Find the difference
    5·1 answer
  • Solve for f. –2(f − 14) + 9 = 5 f =
    15·1 answer
  • Organize the pieces here so that they solve for the hypotenuse
    11·1 answer
  • Phil is buying a sandwich. He has the following choices.
    9·2 answers
  • Help please!!!! I’ll appreciate it so much!
    7·2 answers
  • The price of a Nintendo Switch was on sale on Black Friday for $250, the original price was $300. What percent was it marked dow
    5·2 answers
  • What is the degree of the following polynomial? 2x^7+4-3x^3+5x^8-4x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!