Mathematics High School

A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground?​

A 9-foot Ladder Leans Against A Building Six Feet Above The Ground. At What Height Would A 15-foot Ladder

Answers

Answer 1

Answer:

10

Step-by-step explanation:

You make a proportion 9/6=15/x then multiply 6 and 15 and divide it by 9

Answer 2

The height the 15 ft building touches the building is approximately 10 ft.

The ladder is 9 ft tall and leaning on a wall that is 6 ft above the ground.

The situation forms a right angle triangle.

Properties of a right angle triangle:One of it angle is equals to 90 degrees.The sides and angles can be found using trigonometric ratios.

Therefore, let's find the angle made by the 9 ft ladder and then use it to find the height the 15 ft ladder touch the building.

Using trigonometric ratios,

let

∅ = angle

tan ∅ = opposite / adjacent

tan ∅ = 6 / 9 = 2 / 3

∅ = tan⁻¹ 0.6666666

∅ = 33.6900672615

Therefore, the height the 15 ft ladder touch building can be calculated as follows:

tan 33.69 = h / 15

h = 15 × 0.66666496431

h = 9.99997446476

h ≈ 10 ft.

learn more right angle triangle here: https://brainly.com/question/11821563?referrer=searchResults

Related Questions

mya sold ipods on her website.she bought the the ipods for $80 each and included a 45% markup to get the selling price.what was the selling price for one ipod?

Answers

Answer:

$116.00

Step-by-step explanation:

80.00x45%=36.00

80.00+36.00=116.00

Gavin owns a food truck that sells tacos and burritos. He only has enough ingredients to make 94 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.

Answers

Answer:

t+b≤94

Step-by-step explanation:

solve the equatione ​

Answers

x=2.2 x= 2 2/9 hope this helps

Answer:

x = 20/11

Step-by-step explanation:

1/2x - 3/4x = 5 - 5/2x

1/4x + 5/2x = 5

11/4x = 5

11x = 20

x = 20/11

Lunch is 7.95 the tax is 10% what’s the total cost

Answers

Answer: ($)8.75

Step-by-step explanation:

To calculate the tax, simply do 10%(0.1)*7.95 to get 0.795, rounding up to 0.80(money typically rounds up).

To calculate the total cost, simply do 7.95+0.80 to get 8.75.

Hope it helps <3

The answer is : 8.745

8 + what equals -6?

Answers

The answe is      8 + (-14) = -6

...

Plot the three ordered pairs listed below on the coordinate grid.

(–4, –9)
(5, –3)
(–7, –2)

Answers

I hope this helps, use Desmos if it’s easier
hello bro how are you

Simplify √-48

1) -4√3

2) 4√-3

3) 4i√3

4) 4√3i

Answers

We can change the negative sign into i instantly as sqrt-1 is i.

With this the problem simplifies to sqrt48*i.

Now sqrt48=sqrt4*sqrt4*sqrt3=2*2*sqrt3

So the final product is 4sqrt3*i=4isqrt3.

Thus choosing choice 3 :)

how many 4/3 are in 6

Answers

Answer:

4.5 or 4 1/2

Step-by-step explanation:

6/(4/3)=4.5

What is the greatest common factor of the polynomial below?

30 x -20

A. 5x
B. 10x
C. 5x?
D. 10%

Answers

Heyy I'm not sure if I'm right

12x^4 + 2x^3 - 30x^2

to find the GCF, let's first look at the coefficients.....the GCF of 12,2,and 30 is 2.

as for the variables....pick the one with the smallest exponent...and that would be x^2

so the GCF of this polynomial is 2x^2 <=

i need help please only help if you know the answer

Answers

Answer:

D

Step-by-step explanation:

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Answers

Answer:

point A would be the answer

Answer:

point A ?

Step-by-step explanation:

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Answers

Answer:

(2x+3)(x+2)

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Step-by-step explanation:

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Answers

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Answers

Answer:

7 x 7 x 7

Step-by-step explanation:

When raising a number or expression to an exponent, you are really just multiplying the number or expression by itself.

That means 7³ is 7 multiplied by itself 3 times.

7 x 7 x 7

Hope this helps!

Find the missing length.

Answers

Answer:

Triangle 1 - 4

Triangle 2 - 10

Step-by-step explanation:

To find the missing side lengths of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem states that: a² + b² = c². In this equation, a and b are legs, and c is the hypotenuse.

Using this to solve triangle 1, you get the equation: a² + 3² = 5² or a² + 9 = 25. To solve for a², you subtract 9 from both sides to get a² = 16. To solve for a, find the square root of 16, which is 4.

Using the Pythagorean Theorem to solve for triangle 2, you get the equation: 6² + 8² = c² or 36 + 64 = c². Add 36 + 64 to get 100 = c². Find the square root of 100 to solve for c. The square root is 10.

Hope it helps!

Can you do 11 12 and 13 ignore 10​

Answers

Answer:

I already done this thank you

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Answers

Answer:

We can write a proportion from this image:

x/2 = (x+2)/3

3x=2(x+2)

3x=2x+4

x=4

Let me know if this helps!

ayo
Which triangle, if any, has side lengths of 15, 15, and 15?

It's not a triangle.
isosceles triangle
equilateral triangle
scalene triangle

Answers

Answer:

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Step-by-step explanation:

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Answer:

It's a reflection over the y-axis

Step-by-step explanation:

Answer:

reflection over the y axis

Step-by-step explanation:

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Answers

Answer:

it will be

Step-by-step explanation:

vertex would be (0,-1) and aos would be y=0

HELP I NEED HELP ASAP

Answers

10x^9y^13 is the answer

Which rectangle is similar to rectangle ABCD​

Answers

Answer:

JKLM is similar to ABCD

Step-by-step explanation:

find the output y, when the input, x, is 5.
y = 5x - 3
Y =

Answers

Answer:

y = 22

Step-by-step explanation:

y = 5(5) - 3

y = 25 - 3

y =22


2/x+2-1/x=-4/x(x+2)

Answers

I don’t know the answer but get Photomath it’ll help you
Step 1 simply
1+ 2x=-4 ( x + 2 )
Simply again
1+2x=-4x-8
Add 4x to both sides
1+2x+4x=-8
Simply again
1+6x =-8
Subtract 1
6x= -8-1
6x=-9
Divide both sides by 6
Divide x = -9\6
Now the answer is x = -3/2

a new jacket cost 32.70. the discount is 30%. what is the new total cost?

Answers

Answer:

22.89

Step-by-step explanation:

100%-> 32.70

100-30=70

70%->22.89

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Answers

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After a battle six people were killed and 45 were injured. There were 467 people involved in all. What percent of the total people involved, to the nearest whole percent, were either killed or injured.

Answers

Answer:

11%

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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D. (3; -4)

Step-by-step explanation:

.............

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Answers

Answer:

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Answer:

Brad will get $10 selling 20 cups of lemonade

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