1. Home  » 
  2. math

Find the length of the string of the Flying Kite which is at an angle of 60 from the ground and 75 meters above the ground.  

A kite is at an angle of 60 from the ground and 75 meters above the ground and scroll down to know the length of the string of the Flying Kite.

by Maivizhi A

Updated Mar 07, 2024

Article continues below advertisement
Find the length of the string of the Flying Kite which is at an angle of 60 from the ground and 75 meters above the ground.

Find the length of the string of the Flying Kite which is at an angle of 60 from the ground and 75 meters above the ground.  

The length of the string of the Flying Kite is 86.60 meters.

Let's denote:

  • The length of the string as L.
  • The height of the kite, h = 75 meters.
  • The angle the string θ = 60 degrees.

We can use the sine function:

sin(θ) = opposite / hypotenuse

sin(60 degrees) = 75 / L

L = 75 / sin(60 degrees)

Now, let's calculate L:

L = 75 / sin(60 degrees)

L = 75 / (sqrt(3) / 2)

L = (75 * 2) / sqrt(3)

L = 150 / sqrt(3)

L ≈ 150 / 1.732

L ≈ 86.60 meters

So, the length of the string of the flying kite is approximately 86.60 meters when it is at an angle of 60 degrees from the ground and 75 meters above the ground. 

Article continues below advertisement
Article continues below advertisement

Some more Examples to Work out 

1. Determine the length of the string of a kite which is at an angle of 70 degrees from the ground and 80 meters above the ground.

2. Find the length of the string of a kite which is at an angle of 55 degrees from the ground and 120 meters above the ground.

3. Calculate the length of the string of a kite which is at an angle of 80 degrees from the ground and 60 meters above the ground.

 

 

 

 

Find the length of the string of the Flying Kite which is at an angle of 60 from the ground and 75 meters above the ground - FAQs

1. What is the length of the string of the Flying Kite? 

The length of the kite is 86.60 meters

2. What function did we use in the above problem? 

sin(θ) = opposite / hypotenuse

3. What is the angle of the Flying Kite?

The Flying Kite is at an angle of 60 degrees.

Disclaimer : The above information is for general informational purposes only. All information on the Site is provided in good faith, however we make no representation or warranty of any kind, express or implied, regarding the accuracy, adequacy, validity, reliability, availability or completeness of any information on the Site.