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
GenaCL600 [577]
3 years ago
5

A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height of the kite and then find th

e ground distance from the kite to the person flying the kite,assuming that there is no slack in the string.
1. Draw a figure for the information given in the problems.

2. Using the correct trig function, write out the mathematical problem.

3. Solve the problem to find the missing sides.

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

Height of the kite is =50 \sqrt{3} meters.

Ground distance from the kite to the person flying the kite is 50 meters.

Step-by-step explanation:

Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.

Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.


\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}

\sin\left(60^o\right)=\frac{y}{100}

\frac{\sqrt{3}}{2}=\frac{y}{100}

\frac{\sqrt{3}}{2}*100=y

50 \sqrt{3}=y

Hence height of the kite is =50 \sqrt{3} meters.


similarly:


\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}

\cos\left(60^o\right)=\frac{x}{100}

\frac{1}{2}=\frac{x}{100}

\frac{1}{2}*100=x

50=x

Hence ground distance from the kite to the person flying the kite is 50 meters.


You might be interested in
I NEED HELP NOOOOOWWWWWWWW!!!
Murljashka [212]

Answer:

116

Step-by-step explanation:

7 0
3 years ago
Will somebody help me with this ? Very much appreciated!! I’ll mark u as brainliest!
Mice21 [21]

Answer:

Step-by-step explanation:

y = x - 1/4

x = 1/4                  Put this value in for x

y = 1/4 - 1/4

y = 0

x = 13/4

y = 13/4 - 1/4        The denominators remain the same The numerators are subtracted.

y = (13 - 1)/4

y = 12/4

y = 3

If x is to = 2 then it must be changed so it's denominator is 4

2 = 8/4

y= 8/4 - 1/4

y = 7/4 or 1.75  or 1 3/4

3 0
2 years ago
Jon ran 4 miles in 35<br> minutes. How long did it<br> take him to run a mile
sesenic [268]

Answer:

35/4 minutes per mile

Step-by-step explanation:

rate = time/distance, therefore the answer is 35/4

4 0
2 years ago
In country X, the average yearly salary of 50-year-olds with 16 years of education is $50,275, while the average yearly salary o
nika2105 [10]

Answer:

38%

Step-by-step explanation:

The additional wage compared 12 years of education to 16 years of education is:

Extra\ wage\%=\frac{50,275-36,265}{36,265} *100 = 38.6%

3 0
3 years ago
i thought of a number, increased it by nine, and then multiplied by 6. the resulting number was 282. what was my number
Dovator [93]

Answer:

n+9)6=282

n+9=47

n=38

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Least common factor of 9/24
    14·1 answer
  • a skateboard has probability of a 0.015 defective wheel. what is the probability of it not having a defective wheel
    7·1 answer
  • Gloria needs 2/5 yard of ribbons to make each bow. Write and solve an equation to find how any bows she can make with 8 yards of
    7·1 answer
  • Identify sin A as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!! I don't understand.
    6·1 answer
  • Find and equation for the perpendicular bisector of the line segment whose endpoints are (-9, 5) and (-1,9).
    14·1 answer
  • I need help with the answer.
    8·2 answers
  • the length of a rectangle is 10 ft more than the width. if the perimeter is 64 feet then what is the length of the rectangle in
    14·1 answer
  • Find the missing side.
    13·1 answer
  • What is the first term of an AP whose common difference is 2 and 31st term begin -88
    6·2 answers
  • A food truck did a daily survey of customers to find their food preferences. the data is partially entered in the frequency tabl
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!