Mamadou is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 27 ∘ ∘ . If the string from the kite to his hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

Learn more about height of kite above ground:

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Related Questions

Thirty-six of 80 marbles are blue. What percent of the marbles are blue?

Answers

Answer:

  45%

Step-by-step explanation:

The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.

  9/20 × 100% = 45%

45% of the 80 marbles are blue.

test ill give brainlist
Subtract.

7/8−4/8

Answers

Step-by-step explanation:

7/8 - 4/8.....find the common denominator

(7-4)/8 .....the common denominator is 8

3/8

hope this helps

Use these values to solve this problem.
a = 1, b = -8
-3ab

Answers

Answer:

24

Step-by-step explanation:

-3(1(-8))

1x(-8) = -8

-3 x -8 =24

3. Stacy went to a pet store to buy bridles for her horse farm. She is buying the bridles for 27 horses. Each bridal is $184. How many dollars will all of the bridles cost her?

Answers

Answer:

the answer is $4968

Step-by-step explanation:

$184 x 27= 4968

Answer:

you would do this 27 x 184 = and get the answer which is $4968.

Step-by-step explanation:

hope it helps.

find the highest common factor of 9, 12 and 15​

Answers

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

A 0;2;4;6;8
;
B 3;4;5;6;7

Answers

Answer:

A    -4; -2; 0 ; 2 ; 4 ; 6 ; 8 ; 10

B   1; 2; 3; 4; 5; 6; 7; 8

y=-2/5x-3


plzz help help meeeeeeeee​

Answers

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.

Evaluate g(x)=4−3x when x=−3, 0, and 5

Answers

Answer:

13, 4, and -11

Step-by-step explanation:

g(-3)=4+9=13

g(0)=4+0=4

g(5)=4-15=-11

Determine the value of d when h=29 in the equation D=4h/5

Answers

Answer:  23.2

Step-by-step explanation:

D = 4h/5

D(29) = 4(29)/5

D(29) = 23.2

HELP QUICKKK I NEED THIS FOR SCHOLL ASAP

Answers

Answer:

20, 30, 35, 45, 15

Step-by-step explanation:

Just got to multiply all numbers by 5 little guy

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

Given side AB in triangle ABC has length x, what is the length of side AC?

Answers

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]

Now, put the known values in the above equation.

[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]

[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835

Plss Help Due Tomorrow Give Brainliset ​

Answers

Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

wHICH ONE IS BETTER!!!!!!!!??????????????

Answers

red car is the best for suree


[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]




[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000

[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]




[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}​[/tex]





[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]​

Answers

Answer:

[tex]5400 \div 300000 \\ \\ = 0.018[/tex]

The answer is 0.018

PLEASE HELP!! I’LL MAKE YOU BRAINIEST!

Answers

Answer:

1. Markup: $2.70, Retail: $20.70

2. Markup: $9.45, Retail: $31.95

3. Markup: $25.31, Retail: $59.00

4. Markup: $24.75, Retail: $99.74

5. Markup: $48.60, Retail: $97.20

6. Markup: $231.25, Retail: $416.25

Step-by-step explanation:

To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.

$18 * 0.15 = $2.70

So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.

$18 + $2.70 = $20.70

So your retail price is $20.70. Repeat these steps for each question to get the answers above.

Hope this helps.

Find an equation of the line parallel to y=2x+1 and that passes through the point (5,1)

Answers

Answer:

y = 2x - 9

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 )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 1 ) into the partial equation

1 = 10 + c ⇒ c = 1 - 10 = - 9

y = 2x - 9 ← equation of parallel line

A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?

Answers

Answer:I got 220

Step-by-step explanation:

5200/260=20

20*11=220

please help please pleas

Answers

Answer:

8,8,6

Step-by-step explanation:

Since AB = BC, 4y = 3y+2

solving, y = 2

then we plug it back into the equations and get the answers

Answer:

Step-by-step explanation:

Givens

AB = BC

AB = 4y

BC = 3y + 2

AC = 3y

Solution

AB = BC

4y = 3y + 2                 Subtract 3y from both sides

4y -3y = 3y-3y + 2     Combine

y = 2

AB = 4y = 4*2 = 8

BC = 3y + 2 = 3*2 + 2 = 6+2 = 8

AC = 3y = 3*2 = 6

Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.

Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?

Answers

Answer:

4x  + 2y  ≤  25   ,      x + y ≥  8     is the required system of inequalities to represent the given situation.

Step-by-step explanation:

Here, let  the number of color copies =  x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x)   = 4x

and let  the number gray scale copies =  y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y)   = 2y

Total copies printed = x + y

Maximum time taken to print x  color copies and y grayscale copies

= 4x  + 2y

So, according to the question:

4x  + 2y  ≤  25 ( as maximum allotted time is 25 minutes)

and x + y ≥  8      (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.

I hope this helps.

Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?

- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general

Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)

Answers

Answer:

For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.

Solve for x I need help on this question

Answers

Answer:

[tex]x\approx7.8[/tex]

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(23^\circ)=\frac{x}{20}[/tex]

[tex]20sin(23^\circ)=x[/tex]

[tex]x=20sin(23^\circ)[/tex]

[tex]x\approx7.8[/tex]

Therefore, the length of the opposite side is about 7.8 units



Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?

Answers

Answer:

  $750

Step-by-step explanation:

If p represents the original cost, the relationship expressed in the problem statement is ...

  60 = 0.08p

Dividing by 0.08, we find ...

  p = 60/0.08 = 750

The original cost of the premium was $750.

What the least common denominator for 11/12 5/6 and 1/5

Answers

Answer:

60

Step-by-step explanation:

Answer:

[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]

Step-by-step explanation:

We look for the [tex]LCM[/tex] between these 3 number

[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]

Our [tex]LCM[/tex] is 60

that means our [tex]LCD[/tex] is [tex]60[/tex]

Brainliest please

Which equation has a value less than 2,175?

1 x 2,175 = ________
2 x 2,175 = ________
two halves x 2,175 = ________
one half x 2,175 = ________

Answers

one half x 2,175= 1087 so that is the correct answer.

what is 10 3/12 simplified??

Answers

Answer:

 10 1/4

Step-by-step explanation:

Which function has the greater maximum value: f(x) = -3x + 6x+4, or g(x),
the function in the graph?
у
5
g(x)
х
O A. The functions have the same maximum value.
B. g(x)
O C. f(x)

Answers

f(x) as it has 7 as it’s maximum and g(x) has one less than 7

I don’t understand this someone please help

Answers

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Answer:

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

Answer: This is what I turned in and it was right :)

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

find the square root of 121.

Answers

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation:

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