a 5ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the wall so that the top of the ladder rests on the top of the wall?

Answers

Answer 1
Answer:

The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:

a² + b² = c²

The ladder is the hypotenuse c²

The vertical leg is b²

The base or horizontal leg is a²

We need to find the length of the base a²,  so:

a² = c² - b²

a² = 5² - 4²

a² = 25 - 16

a² = 9

a = √9

a = 3

Therefore the bottom of the ladder must be 3 feet  from the wall.

 



Related Questions

T/F: Percentages are often used to describe characteristics of samples
-18 - 14= whats the answer help
In this triangle, cos A/cos B =?(Write an integer(that is,write a number with no decimal and no decimal places.) IMG_5835.JPG
Some life insurance policies have cash value and loan value benefits. Some life insurance policies have cash value and loan value benefits. true false
Factor the four-term polynomial.pq - 3r + pr - 3q. (p - 3)(q + r) (p - r)(q + 3) (p + 3)(q - r)

(15−x)∙4=10
pls pls answer asapppp

Answers

(15-12.5)*4=10

x=12.5

6a-5b=9 2a+5b=23 using the addition method

Answers

Answer:

a = 4

b = 3

:))

What characteristics best describe the graph? Choose all that apply. *

Answers

Answer:

Options (1), (3) and (7)

Step-by-step explanation:

Characteristics of the given graph are as followed.

1). For every input value (x-value) there is a different output values (y-values).

   So the points on the graph represent a function.

2). Coordinates of all the points are distinct and separate (not in fractions or decimals).

    Function given is a discrete function.

3). For every increase in the x-values of the points there is a decrease in y-values.

  Therefore, given function is a decreasing function.

Therefore, Options (1), (3) and (7) are the correct options.

Which ordered pair is a solution to the equation: y - 3 = x+2?a) (5,10)
b) (0,0)
c) (7,6)
d) (10,5)

Answers

Let's solve for x.y−3=x+2Step 1: Flip the equation.x+2=y−3

Step 2: Add -2 to both sides.x+2+−2=y−3+−2x=y−5

Answer:

x=y−5
Answer:
d) (10,5)

to check:
(5,10)
x=5
y=10

y-3=x+2
10-3=5+2
7=7

Find the range for these numbers. 12,9,24,24,37,18,9,6,24

Answers

The difference between the greatest and lowest numbers in a piece of data is the range. The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

What is the range?

The difference between the greatest and lowest numbers in a piece of data is the range. The difference here is that the range of a set of data is determined by subtracting the sample maximum and minimum.

The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is,

37-6 = 31

Hence, The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

Learn more about Range:

brainly.com/question/17553524

#SPJ2

The range of a set of data is the difference between the highest and lowest values in the set. Order the number in order from least to greatest.
6,9,9,12,18,24,24,24,37
Then subtract the least number from the greatest number.
37-6=31
So your answer is 31.

State whether the lines are parallel, perpendicular, or neither. Show your work.10x–5y=100 and 6y+3x=−7
PLZ SHOW WORK

Answers

Answer:

-5y=-10x+100

y=2x-20

6y=-3x-7

y=-1/2x-7/6

Perpendicular because the slopes are opposite