Final answer:
To calculate the height of the kite, the sine function of the angle of elevation (36 degrees) is used in relation to the string length (185 ft), and three feet are added to account for the string's elevation above the ground. The kite is approximately 111.74 ft above the ground after rounding to the nearest hundredth.
Step-by-step explanation:
The student asked how high a kite is flying if the string is being held 3ft above the ground, the string is 185 ft long, and is flying at an angle of elevation of 36 degrees.
To solve this, we can use trigonometry, specifically the sine function, which relates the opposite side of a right triangle (height of the kite above the point where the string is held) to the hypotenuse (the string of the kite).
Firstly, let's calculate the height of the kite above the point where the string is held:
H = 185 ft * sin(36 degrees)
H ≈ 185 * 0.5878 (Using a calculator for sin(36 degrees))
H ≈ 108.74 ft
However, the string is held 3ft above the ground, so we need to add this to the height we found:
Total height of the kite = Height above the point where the string is held + Height at which the string is held
Total height of the kite = 108.74 ft + 3 ft
Total height of the kite ≈ 111.74 ft
Therefore, the kite is approximately 111.74 ft above the ground, rounding to the nearest hundredth as required.