To solve the problem of finding the height of the kite above the ground:

Step-by-Step Solution:

1. Understand the Triangle: The setup forms a right triangle:

   • Hypotenuse ($c$) = 24 m (length of the string),
   • Adjacent side ($b$) = 18 m (horizontal distance),
   • Opposite side ($a$) = height of the kite above the point where the person is holding the string.

2. Height Above the Person's Hand: Use the Pythagorean theorem: $c^2 = a^2 + b^2$ Substituting known values: $24^2 = a^2 + 18^2$ $576 = a^2 + 324$ $a^2 = 576 - 324 = 252$ $a = \sqrt{252} \approx 15.87 \, \text{m}$

   This is the height of the kite above the person’s hand.

3. Add the Height of the Person’s Hand: The total height of the kite above the ground is: $\text{Total height} = a + \text{height of the person's hand}$ $\text{Total height} = 15.87 + 1.5 = 17.37 \, \text{m}$

Final Answer:

The height of the kite above the ground is approximately 17.37 meters.

Let me know if you'd like further clarification or details!

Here are 5 related questions:

1. How does the Pythagorean theorem apply in real-life situations like this one?
2. What would the height be if the string length were longer or shorter?
3. How would you calculate the angle of elevation of the kite?
4. Could trigonometric functions like sine or cosine be used to solve this problem?
5. How can the accuracy of these measurements be verified?

Tip: Always consider whether additional elements (like wind affecting the string) might create deviations in real-world calculations!