An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?

Answers

Answer 1

The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.

The situation forms a right angle triangle.

Right angle triangle

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.

The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.

Therefore,

sin 56° = opposite / hypotenuse

sin 56° = 35 / x

The hypotenuse is the length of the support wire.

Therefore,

x = 35 / 0.82903757255

x = 42.2195416164

x = 42.2 m

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Related Questions

Find the area of the polygon

Answers

Answer:

answer is 40

hope it helps

PLS ANSWER THIS QUESTION
I WILL MARK BRAINLIEST FASTTTTT

Answers

I believe your answer is 16

What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.

Answers

Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.

Find the area and the circumference of a circle with radius 4m. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers. 4m Area: Circumference:

Answers

Answer:

!!! please use the correct units.. m² and m !!!

the answer is in the picture

Need help answering this

Answers

You just have to substitute 2 into t.

f(t) = 40 + 6 = 46

The answer is 46

What is the area of parallelogram ABDC?



9 cm 2
12.25 cm 2
7 cm 2
12 cm 2

Answers

Answer:

I guess it is 9 cm²

Step-by-step explanation:

Hope it helps.....

There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total

Answers

They had 56 lives in total

Explanation: if there were thirteen friends to begin with and six quit that would leave them with 7 friends. If those seven remaining friends each had 8 lives, you multiply those 7 friends by 8 lives which would get 56.

If all thirteen friends were still in the game then they would have 104 lives all together.
they had 56 lives in toatal

PLEASE HELP ASAP PYTHAGOREAN THEOREM

Answers

11.66 or 12

Step-by-step explanation:

c^2 = a^2 + b^2

19^2 = 15^2 + b^2

361 = 225 + b^2

361 - 225 = b^2

136 = b^2

(square root of both sides)

b = 11.66or 12

B=11.661

15^2 + B^2= 19^2
225 + B^2 = 361
B^2 = 136 (subtract 225 from both sides)
136= 11.661 (square root)
B= 11.661

Find the exact length of the midsegment of the trapezoid with the vertices A(2,\ 0),\ B(8,-4),\ C(12,\ 2),\ D(0,\ 10).

Answers

Answer:

Midsegment = 3√13

Step-by-step explanation:

The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD

Simplify: 4y + 3 +9y+ 6
O 13y + 9
O 22y
O 7y + 15
O 22

Answers

Answer:

13y+9

Step-by-step explanation:

You can add 4y and 9y because they are like terms , and the same for 3+6.

4y+9y and 3+6

13y + 9

hope this helps

in how many years will 600$ double itself at 10% simple interest?​

Answers

Answer:

10years

Step-by-step explanation:

100%+100%=double

100/10=10 years to reach 100% so after ten years you will have 200%/double

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]

P (Principal) → 600$R (the annual rate) → 10% ,0.1

nd

Time → years let be x

[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]

[tex]\blue{\rule{70mm}{2.2pt}}[/tex]

[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]

[tex]\blue{\rule{70mm}{2.2pt}}[/tex]

Substituting values

[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]

[tex]\underline{\underline{\rule{70mm}{2.2pt}}}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

What is the value for y when x = 8

Answers

Answer:

x+y=0

8+y=0

y=8

Step-by-step explanation:

correct me if I'm wrong

Answer:

D. 44

Step-by-step explanation:

y = (8 x 5) +4

y= 40 + 4

y= 44

if8 kg of sugar cost Php 320.00 how much would 5kg of sugar cost?

Answers

Answer:

php.200.00

Step-by-step explanation:

if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200

the ans is 200

Answer:

Php 200.00

Step-by-step explanation:

Given :

8 kg of sugar costs Php 320.00

Unit rate

Total cost (Php) / Total amount of sugar (kg)320.00 / 8 Php 40.00 per 1 kg

5 kg of sugar

5 x Unit rate5 x 40Php 200.00

Hemos comprado 3 kg de manzanas y nos han cobrado $ 3.45. ¿Cuánto nos cobrarían por 1, 2, 5 y 10 kg?

Answers

Answer:

Por 1 kg: $1.15

Por 2 kg: $2.30

Por 5 kg: $5.75

Por 10 kg: $11.50

Lo siento si esta respuesta no es correcta, si lo es o no, por favor dímelo en los comentarios!

Step-by-step explanation:

Primero, divida $ 3.45 por 3, lo que le dará $ 1.15.

Luego, multiplique $ 1.15 a 1, 2, 5 y 10.

(Respondí esto usando un traductor, por lo que mi gramática podría estar un poco desviada. ¡Espero que esto ayude!)

For which values of x is the expression undefined

Answers

x=-1/6 because to get an undefined function, the bottom value (denominator) must be 0.

if you take 6x + 1 = 0 you can solve for x:
6x = -1
x = -1/6

Carter Is organized text book on his bookshelf. He had an English textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbook up on his bookshelf

Answers

Carter can line the books up on his bookshelf in 24 different ways.

if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left​

Answers

Answer:

3/5

Step-by-step explanation:

5/5 - 1/5 = 4/5

4/5 × 4/4 = 16/20

16/20 - 4/20 (1/4) = 12/20

12/20=3/5

I think this is right

The remaining fraction of oranges left is A = 3/5 of the total oranges

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the remaining fraction of oranges be A

And , if 1/5 of 100 oranges is given to Ade, then Ade gets:

1/5 * 100 = 20 oranges

The remaining oranges are:

100 - 20 = 80 oranges

Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:

1/4 * 80 = 20 oranges

So the total number of oranges given away is:

20 (Ade) + 20 (Hardy) = 40 oranges

The fraction of the oranges that is left is:

(100 - 40) / 100 = 60 / 100 = 3/5

Hence , 3/5 of the oranges are left

To learn more about fractions click :

https://brainly.com/question/29766013

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What is the answer to this? Due in 3 minutes!

Answers

The answer are
X=3
Wx=29

For Wx

7x+8
So you put the 3 in the x


7x3+8
21+8 =29


Hopefully that makes sense

Good luck

The rest is in attached
You use the formula
Wx = 1/2(uv +st )

Mike is saving up for a bike. He is saving up $785. He has 635 and needs to spend 356 for food for his graduation party. How much will he have once he buys food and how much more will need for his bike.

A 278 Left & 567 More

B 423 Left & 821 More

C 279 Left & 506 More

D 144 Left & 296 More

Answers

Answer: C

Step-by-step explanation:

635 - 356 = 279

279 + 506 = 785

         $785

Complete the net worth statement by determining the total assets and total liabilities. What is the net worth?

Answers

The net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.

What is the net worth?

The net worth of an individual is the difference between the assets owned and the liabilities that the person owes.

Data and Calculations:Assets:

Cash $200

Checking accounts $1,000

Savings account $400

Cars $8,000

Furniture and appliances $1,500

Computers $900

Stereo/Cell phones $400

Clothing $300

Total assets = $12,700

Liabilities:

Credit card balances $1,200

Charge accounts balances of $200

Student loans $7,000

Car Loans $2,300

Total liabilities = $10,700

Net worth = $2,000 ($12,700 - $10,700)

Answer Options:

A) $200

B) $2,000

C) $10,700

D) $12,700

Thus, the net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.

Learn more about the net worth of an individual at https://brainly.com/question/12371230

help me please.........​

Answers

Answer:

um 21

Step-by-step explanation:

Help picture below problem 20

Answers

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

if p + 2q = 40 find Q when p = 16​

Answers

hello!

Plug in the value of p:-

16+2q=40

Subtract 16 from both sides:-

2q=40-16

2q=24

Divide both sides by 2:-

q=12 ✓

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

What are the sum of the interior angles in an irregular octagon?

Answers

Answer:

1080

Step-by-step explanation:

Use formula

Sum of in. angle=(n-2)*180

Answer:

1080°

Step-by-step explanation:

To find the sum of interior angles, use the formula: 180(n-2). Input '8' as 'n'.

180(8-2)

180(6)

1080°

Therefore, the sum of interior angles of an irregular octagon is 1080

NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY

NO LINKS IF YOU DO NOT KNOW THE ANSWER PLEASE SKIP OVER THIS THREAD

Answers

Answer:

I think this Cyclic quadrilateral 180degree

Evaluate x3 - x + x0 for x = -1.

Answers

substitute (-1)3-(-1)+(-1)0
multiply (-3)+1+0
simplify. -2

Final Answer: -2

Definition: An proposed answer to a problem is called
if it can
possibly be within a small distance of the actual answer,
es )
Term:

Answers

Answer:

The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated

Step-by-step explanation:

Fill in the table using this function rule. Y=-5x+1

Answers

Answer:

X ∣ Y

-5 ∣ 26

-4 ∣ 21

-3 ∣ 16

-2 ∣ 11

-1 ∣ 6

0 ∣ 1

1  ∣ -4

2 ∣ -9

3 ∣ -14

4 ∣ -19

5 ∣ -24

Find the maximum number of children to whom 30 sweaters and 45
trousers can be equally distributed.also find how many sweaters and trousers each child got ?

Answers

Answer:

15 children2 sweaters; 3 trousers each

Step-by-step explanation:

The desired distribution can be found by factoring out the greatest common factor from two numbers.

  30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)

Each of 15 children got 2 sweaters and 3 trousers.

_____

Additional comment

The two numbers can be factored as ...

  30 = 2·3·5

  45 = 3·3·5

The factors these numbers have in common are 3·5 = 15

236 megabytes and 12.6% is downloaded how many megabytes have been downloaded

Answers

236 x 0.126

29.736 MB have been downloaded

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