1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bulgar [2K]
3 years ago
13

leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long

and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?​
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Answer:

The kite is 10.8 m above the ground.

Step-by-step explanation:

Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.

Notice that X is the opposite cathetus to the 40° angle, then:

We can use the relation:

Sin(θ) = (opposite cathetus)/(hypotenuse)

where, in our case, we have:

θ = 40°

hypotenuse = 15m

opposite cathetus = X

Replacing these in the equation, we get:

Sin(40°) = X/15m

Now we can solve this for X.

Sin(40°)*15m = X = 9.6m

And the actual height of the kite is X + 1.2m

Then:

H = 9.6m + 1.2m = 10.8m

The kite is 10.8 m above the ground.

You might be interested in
Keira keeps a record of the number of songs she downloads each months
prohojiy [21]
Good for Keira. Is there a question that goes along with this?
3 0
3 years ago
What is the answer to -5x+7y=11<br> -5x+3y=19
marusya05 [52]
\left\{\begin{array}{ccc}-5x+7y=11\\-5x+3y=19&/\cdot(-1)\end{array}\right\\+\left\{\begin{array}{ccc}-5x+7y=11\\5x-3y=-19\end{array}\right\\-------------\\.\ \ \ \ \ \ \ \ 4y=-8\ \ \ \ |divide\ both\ sides\ by\ 4\\.\ \ \ \ \ \ \ \ \ y=-2\\5x-3(-2)=-19\\5x+6=-19\\5x=-19-6\\5x=-25\ \ \ \ \ |divide\ both\ sides\ by\ 5\\x=-5\\\\Answer:x=-5\ and\ y=-2

3 0
3 years ago
Read 2 more answers
Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the
polet [3.4K]

Answer:

The first equation must be multiplied by -5 to eliminate x variable by addition

Step-by-step explanation:

4 x - 3 y = 1 (1)

5 x + 4 y = 9 (2)

If the second equation is multiplied by 4

5x+4y=9. ×4

We have,

20x+16y=36 (3)

The first equation should be multiplied by -5 to eliminate x variable by addition

4x-3y=1 × -5

We have

-20x+15y=-5 (4)

Add equation (3) and (4) to eliminate x variable

20x+16y=36

-20x+15y=-5

31y=31

Divide both sides by 31

y=1

Substitute y=1 into equation (1)

4 x - 3 y = 1

4x-3(1)=1

4x-3=1

4x=1+3

4x=4

Divide both sides by 4

x=1

4 0
3 years ago
Read 2 more answers
HELP!!!! 15 points and marked brainliest!!!!
nikitadnepr [17]

Answer:

11

Step-by-step explanation:

LN = LM + MN

=> 22 = 3z + 1 + 3z + 1

20 = 6z

z =  10/3

LM = (10/3)*3+1 = 11

:(((

8 0
3 years ago
Solve the equation below. Pls include work<br><br><br><br> 28.10 = 15.5 + 5x
madreJ [45]

Answer:

2.52

Step-by-step explanation:

5x + 15.5 = 28.1

subtract 15.5 from both sides

5x = 12.6

divide both sides by 5

x = 2.52

5 0
2 years ago
Read 2 more answers
Other questions:
  • gisele runs a company that makes tablet computers. Each tablet requires an employee to assemble it and an employee to test it. T
    6·2 answers
  • 20! / 16! = a 24 b 11,628 c 116,280 d A number too big to compute
    13·1 answer
  • Hey please help if u can!
    14·2 answers
  • A rectangular poster has an area of 38 square feet. It is 9 1/2 feet wide at its base. What is the height of the poster?
    14·1 answer
  • Please help questions are in the pictures!
    5·1 answer
  • 2x-5y=-3<br> 5x+2y=6<br> Is this a perpendicular lines ?
    8·1 answer
  • Magda works at a charity for homeless people.
    12·1 answer
  • The endpoints of a side of rectangle ABCD in the coordinate plane are at A (1,7) and
    8·1 answer
  • At $4.47 per hour, what is the least amount of full hours needed to work to earn at least $240?
    6·1 answer
  • Help now ____________[_
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!