If a kite is flying at a height of 50 meters and the string makes an angle of 30

₹0.0

Question: If a kite is flying at a height of 50 meters and the string makes an angle of 30 degrees with the ground, how long is the string?

Options:

Correct Answer: 86.6 meters

Solution:

Length of string = height/sin(30) = 50/0.5 = 100 meters.

If a kite is flying at a height of 50 meters and the string makes an angle of 30 degrees with the ground, how long is the string?

If a kite is flying at a height of 50 meters and the string makes an angle of 30 degrees with the ground, how long is the string?

Step 1: Understand that the height of the kite is 50 meters.
Step 2: Know that the string makes an angle of 30 degrees with the ground.
Step 3: Recognize that we can use the sine function to find the length of the string. The sine of an angle in a right triangle is the opposite side (height) divided by the hypotenuse (length of the string).
Step 4: Write the formula: sin(angle) = opposite/ hypotenuse. Here, sin(30 degrees) = height / length of string.
Step 5: We know sin(30 degrees) = 0.5.
Step 6: Substitute the values into the formula: 0.5 = 50 / length of string.
Step 7: Rearrange the formula to find the length of the string: length of string = height / sin(30 degrees).
Step 8: Calculate the length of the string: length of string = 50 / 0.5.
Step 9: Perform the division: 50 divided by 0.5 equals 100.
Step 10: Conclude that the length of the string is 100 meters.

Trigonometry – The problem involves using the sine function to relate the height of the kite to the length of the string based on the angle with the ground.
Right Triangle Properties – Understanding the relationship between the sides and angles of a right triangle is essential for solving the problem.