A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot.

Answers

Answer 1

Answer: Using Pythagorean's Theorem we know that a^2 + b^2 = c^2
C is the length of the ladder, and we are given one of the sides, let's call that side b
_________
we have a^2 + b^2 = c^2, and a^2 = c^2 - b^2, so a = √ c^2 - b^2
_________ ______ ____
a = √12^2-3^2 = √ 144-9 = √ 135 = 11.61895
so the top of the ladder is 11.6 feet above the ground

Answer 2

Answer: This question is asking about the Pythagorean Theorem (A^2 + B^2 = C^2)

You know the length of the hypotenuse (this is 12 feet, the length of the ladder, which is C), you also know A, 3 feet from the side of the house.

So we have to plug into the formula what we know 3^2 + B^2 = 12^2, or 9 + B^2 = 144. By rearranging the formula you get 144 - 9 = B^2. Once you solve for B^2 you can take the square root to get B. (It's 11.6!)

Related Questions

if the radius of a circle is 3.5 inches its diameter is ____ inches and its approximate area is____ square inches
In the above figure, ae 2, ce 3, and de 4. What is the length of be
Please help!!!! Thank you
Can you solve (4x-3)/(x+2)+(15)/(x-3)
The circles below is centered at the point (4,3) and has a radius of length 8. Whats its equation?

Evaluate 25-5e + 3g/f when e = 4 f = 3 and g = 10

Answers

15.

Make sure to follow the order of operations.

Hello! Can someone please help me with this? Thank you! :)

(screenshot included)

Answers

Answer:

32÷35=0.9142857142857143

Answer:

decimal equivalent is .91429 (simplified)

he likely made the mistake of dividing 35 by 32 instead of the other way around

Step-by-step explanation:

to find the answer you divide 32 by 35 instead of dividing 35 by 32

An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x

Answers

Given:

Perimeter of the triangle = 99 ft

Length of two sides are 20 ft and 42 ft.

To find:

The length of missing side.

Solution:

Let the missing side be x.

Perimeter of a triangle is the sum of all sides of that triangle.

$x+20+42=99$

$x+62=99$

Subtract 62 from both sides.

$x=99-62$

$x=37$

Therefore, the missing side of the triangle is 37 ft.

What dos soy sux mean??

Answers

gay btw, bc the sus part means suspicious so basically means gay.

Answer:

Gay.

Step-by-step explanation:

I means gay, some people just refer to that but most commonly known as 'gay'.

(05.02 LC)Solve the following system:

y = x + 3
2x + y = 9

(2, 5)
(5, 2)
(−2, 5)
(2, −5)

Answers

Your Answer: A.) (2 , 5) I also provided the steps.

Hope this helps y'all :)

2x +1 = 5
List the 2 steps to solve and the
solution.

Answers

2x = 4
x= 2

U first subtract 1 on both sides to combine like terms

Answer:

(This way you have to solve for x)

way 1

step 1: 2x+=5

step 2: 2x=5-1

step 3: 2x=4

answer x=2

(This way you have to solve by rewriting in standard form)

way 2

step 1: 2x+1=5

step 2: 2x=5-1

step 3: 2x=4

answer x=2

Step-by-step explanation:

Other Questions

Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

The lengths of the three sides of a triangle (in feet) are consecutive integers. If the perimeter is 87 feet, find the value of the longest of the three side lengths.

Is rolling an even number on a number cube an outcome or an event

What is the value of y in the equation 6.4x 2.8y = 44.4, when x = 3? user: what is the value of x in the equation x �� y = 30, when y = 15? 4 8 80 200