Question

Soren is flying a kite on the beach. The string forms a 30 degree angle with his hand. If he has let out 10 meters of Ine, how high above Saren is the kite? Round your answer to the nearest hundredth

Answer 1

To find the height of the kite above Soren, we can use the concept of trigonometry. The angle formed by the string and Soren's hand is 30 degrees. By using the sine function, we can calculate the height of the kite to be 5 meters.

Step-by-step explanation:

To find the height of the kite above Soren, we can use the concept of trigonometry. Since the string forms a 30-degree angle with Soren's hand, we can use the sine function to calculate the height. The sine of an angle is equal to the opposite side divided by the hypotenuse. In this case, the opposite side is the height of the kite and the hypotenuse is the length of the string.

Let's denote the height of the kite as 'h' and the length of the string as 'L'. Applying the sine function:

sin(30°) = h / L

Substituting the values:

sin(30°) = h / 10

Now, solve for 'h':

h = 10 * sin(30°)

Using a calculator, the value of sin(30°) is approximately 0.5. Therefore, the height of the kite is:

h = 10 * 0.5 = 5 meters