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

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Related Questions

17. A store is advertising the following sale:

[Tomato Soup-- 4cans for $0.98]

To the nearest cent, how much would five cans of tomato soup cost? (show work to prove answer)

(A)- $0.25

(B)- $1.23

(C)- $2.45

(D)- $4.90​

Answers

Answer:

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

4 cans - $0.98

1. $0.98/4 = $0.245 will cost 1 can

2. $0.245 × 5 = $1.225 will cost 5 cans

so $1.225 = $1.23

so the answer is B

rewrite in simplest form

0.7k-5(-7k-4)

Answers

Answer:

Step-by-step explanation:

357k + 200

——————————

10

35.7k+20 is the answer i believe

Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!

Answers

Nick added 1 1/2 instead of subtracting1 1/2 should be subtracted from 9 7/11.

[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]

[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]

[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]

Done

Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom

Answers

Answer:

1264

Step-by-step explanation:

is the answer...........

Expand & simplify
(4x + 7)(x – 5)

Answers

Answer:

(4^3−13−35)

Step-by-step explanation:

this ans

The answer is 4x^2-13x-35
I used distributive prop.

5x+2y<8 graph the inequality

Answers

answer: fyi; the line isn’t solid! make sure you shade the side as well!

I NEED THE ANSSWER ASAP!!

Which situation would best be represented by positive 32?​

Answers

D. Spending, dropping, and decreasing all signal subtraction. D is the only reasonable answer

X+y=2 x-y=4 solve using elimination

Answers

(3, -1)  Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.

if 3/ 4 part of the total number of students in a class are girls how much percent are boys ​

Answers

Answer:

1

Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1

Answer:

1/4 or 25% are boys

Step-by-step explanation:

3/4 + 1/4 = 4/4

75% + 25% = 100%

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.

Answers

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

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Answer:

3080 is the answer ^

Step-by-step explanation:

please help me with this math question

Answers

Answer:

Step-by-step explanation:

Add 633 to the reading before the trip.

New reading in the odometer = 14,917 + 633  = 15,550  miles

Someone please solve and explain part a(i)

Answers

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

Please help. ( WILL MARK BRAINLIEST)

Answers

Answer:

499.2 cm^2

Step-by-step explanation:

((12*10.4)/2)*8=6*10.4*8=499.2

Formulas Used:

Area of triangle - 1/2bh

When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17

Answers

[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]

[tex]\\ \sf\longmapsto 2x=-34[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

expand and simplify 3(x+3) - 2(x+2)

Answers

Step-by-step explanation:

3(x+3) - 2(x+2) =

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

what is the square root of25. To guys who steal my points​

Answers

the square root of 25 is 5 or -5

Thank You In Advance For Whoever Answers

Answers

Answer:

97.6 in^3

Step-by-step explanation:

find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.

cylinder: pi*2^2*8=100.531

cone: 1/3*pi*2^2*0.7=2.932

cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6

How many times does it intersect on the graph? y=x^2+3x-2, y-x=4

Answers

it intersects twice :)

what is a 8096 rounded to 1 significant figure

Answers

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

answer is 8000
8 is the first non-zero digit leaving it the one used

PLS HELPP me asap no bots

Answers

PART A

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

PART B

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]

So, the option D. 60 minutes is c correct answer

Please help!

Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .

Answers

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

In this exercise we must apply the definition of derivative, which is described below:

[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:

[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]

[tex]f'(x) = 4\cdot x[/tex]

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/23847661

Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750. How many weeks will Millie's balance remain above $750?

Millie's account balance will remain above $750 area weeks.

Fewer than 9
At least 9
Greater than 9​

Answers

Answer:

Step-by-step explanation:

AT LEAST 9

Millie's account will be above $750 for weeks greater than 9.

What is inequalities?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.

Establishing an inequality,

750 > 1497 - 83x

Where, x is the number of weeks.

On solving, we get,

747 > 83x

x < 9

Hence, Millie's account will be above $750 for weeks greater than 9.

For more references on inequalities, click;

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[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

Each train car holds 71 passengers. About how many train cars
would be needed to carry 567 people?

Answers

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

71 x 8 = 568 (enough)

Answer: 8 train cars

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.

Answers

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!

Answers

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50

Graph the equation on the coordinate plane using the slope and y-intercept.

y=−2x

Answers

Answer:

Step-by-step explanation:

What is the midpoint of the segment shown below?
10
O A. (6.3)
(2,3)
(10,3)
B. (6,3)
- 10
10
C. (5,3)
-10
D. (533)
SUE

Answers

Answer:

b. (6,3)

Step-by-step explanation:

10+2=12

12/2=6

The line is always on 3, so that will be the y coordinate!

The midpoint of the line segment are (6, 3). Therefore, option B is the correct answer.

What is the midpoint of a line segment?

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]

From the graph, the coordinate points of ends of line segment are (2, 3) and (10,3).

Here, midpoint = [(2+10)/2, (3+3)/2]

= (6, 3)

Therefore, option B is the correct answer.

To learn more about the formula of midpoint visit:

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(Please please, actually type the answer and dont send it in a file because it wont work)

A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?

Answers

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D

Answers

Answer:

I think the answer will be A

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