Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .

Two Poles Of Different Heights Are Used For A Climbing Event And Need To Be Secured To The Ground Using

Answers

Answer 1

Using similar triangles, it is found that the height of the taller pole is of 9.6m.

What are similar triangles?

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The hypotenuse of the smaller triangle is given as follows:

h² = 6² + 8² -> h = 10.

Hence the proportional relationship is:

[tex]\frac{10}{16} = \frac{6}{h}[/tex]

Applying cross multiplication:

10h = 96

h = 9.6m.

More can be learned about similar triangles at https://brainly.com/question/305520

#SPJ1


Related Questions

From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house

Answers

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.

Answers

Answer:

2.5 hours

Step-by-step explanation:

60+2t=40+10t

hope this helps, have a great day :)

please help meee its due soon hurry please !!

Answers

1 is correct,2 is incorrect, 3 is correct, 4 is correct, 5 is correct, 6 is incorrect and if wrong sorry

Diego has a maximum of $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. Each pair of socks costs the same. The shorts he wants cost $19.95.

Write and solve an inequality to represent the amount of money Diego can spend on a single pair of socks. Let x represent the price of one pair of socks.

Answers

Answer:

The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;

Y ≤ $3.07

Step-by-step explanation:

The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;

The maximum amount Diego has, A = $35

The cost of the shorts Diego wants, S = $19.95

The number of pairs of socks Diego needs, n = 5 pairs

Let the

Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;

Y ≤ (A - S)/n

Plugging in the known values of 'A', 'S', and 'n', we have;

Y ≤ (35 - 19.65)/5 = 3.07

∴ Y ≤ $3.07

5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?​

Answers

Answer:

124

Step-by-step explanation:

5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.

992 × ⅛ = 124

What's the answer pleaseewwww

Answers

Pretty sure it’s the third one

2 (12-y)= 23- (2y-1)

Answers

i got all real numbers

In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.

Answers

Answer:

2 units

Step-by-step explanation:

We are given that

Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian

Length of an arc=[tex]\pi[/tex]

We have to find the radius of circle in simples form.

We know that

[tex]\theta=\frac{l}{r}[/tex]

Where l=Length of arc

r=Radius of circle

Using the formula

[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]

[tex]r=\frac{2\times \pi}{\pi}[/tex]

[tex]r=2[/tex]units

Hence, the radius of the circle=2 units

A TRIANGLE has a base of 20 inches and height of 9 inches. What is its area? (a = 1/2bh)

Answers

Answer:

90

Step-by-step explanation:

1/2x20x9=90

please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?

Answers

Answer:

y= 3x/4 − 1

Step-by-step explanation:

​Triangles ABC​ and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?


a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Answers

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

A line passes through the point (-2,9) and (0,-3)

Answers

Answer:

Step-by-step explanation:

Answer:

y = - 6x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 9) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-9}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 6x - 3 ← equation of line

The side length of a triangle are 6,8 and 12 are these sides of a right triangle

Answers

Answer:

Yes it a right triangle!!

Hope it helps you!!

Answer:

No

Step-by-step explanation:

6^2 + 8^2 doesn't equal 12^2

Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.

Answers

Answer G. 99/36= 11/4x

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 45 L to 56 L

Answers

Answer:

45/56

Step-by-step explanation:

We have,

Numerator = 45 L

Denominator = 56 L

We need to find the ratio as a fraction in simplest form. So,

[tex]\dfrac{N}{D}=\dfrac{45}{56}[/tex]

As there is no common factor between 45 and 56. It means the simplest fraction is 45/56.

7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.

Answers

Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

a = -6

7 + -6/3 = 5
7 + (-2) = 5

Hope this helps!!!!!

how many centimeters are in 1 millimeter​

Answers

Answer:

1 milli meter = 0.1 centi meter

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship. ​

Answers

Step-by-step explanation:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

make the most childish answer possible and ill give you brainliest

Answers

Answer:

yo mama

Step-by-step explanation:

Answer and Step-by-step explanation:

         

Find [x]:  <--------------- (Childish Answer)

                                |

                                |

4 + y = 3x - 5            |

                                |

                                |

----------------------------^

^---------------

I found x!! ^

#teamtrees #WAP (Water And Plant)

Please answer this I will mark you Brainly if you answer this right

Answers

Answer:

150 This is right 4sure i did this test to.

Step-by-step explanation:

The answer to the question is 150.

Explain

360 miles in 6 hours unit rate

Answers

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter =  2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74       Remove the brackets

2W + 6 + 2W = 74        Collect Like Terms

4w + 6 = 74                  Subtract 6 from both sides

4w = 74 - 6

4w = 68                        Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

The instructions are on the picture whoever answers this question will be the brainliest!!

Answers

Answer:

-3

3/2

Step-by-step explanation:

Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.

slope. Choose two points. For the sake of explainin, I am choosing

(-3,1)

and (0,3). That’s the y intercept!!

The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run

the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)

Rise= 3

run =2

Slope=rise/run=3/2

fifty-six thousands as decimal form

Answers

Answer:

0.056  

Step by step explanation:

A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle​

Answers

B.



Would be yo ur answer
It’s possibly d or b

Gilligan sees a ship coming close to the shore hes standing on.

Answers

i think part a is: yes because both triangles are right angles. it would be postulate SAS

not sure for part b

How many constants are in the following expression?
7x + 4y - 5 + 4x Help

Answers

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87

Answers

Answer:

15.51

Step-by-step explanation:

14.91x4%=.60

14.91+.60=15.51

Given the sides of the four triangles below, which is NOT a scalene triangle?

Answers

Answer:

under the circustances of this trajectory the triangular polverinization oxiding cells are answer choice A thus that answer is not a scalene triangle

Step-by-step explanation:

Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?

Answers

Answer:

22

Step-by-step explanation:

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