A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is \( 52 \circ \). How high off the ground is the kite? \( \begin{array}{ll}\text { a) } 72 \text { feet } & \text { go to station } 7 \\ \text { b) } 79 \text { feet } & \text { go to station } 9 \\ \text { c) } 62 \text { feet } & \text { go to station } 3 \\ \text { d) } 64 \text { feet } & \text { go to station } 8 \\ \text { e) } 13 \text { feet } & \text { go to station } 1\end{array} \)

To find the height of the kite off the ground, we can use some trigonometry! The height can be found by applying the sine function in this scenario. Since we have the hypotenuse (the length of the string) and we want to find the opposite side (the height), the equation will be: \[ \text{height} = \text{hypotenuse} \times \sin(\theta) \] Plugging in the values gives us: \[ \text{height} = 100 \times \sin(52^\circ) \approx 100 \times 0.7880 \approx 78.8 \text{ feet} \] Looking at the options, the closest answer is **b) 79 feet**. Kite flying not only brings joy but also offers a chance to grasp fundamental physics concepts! For instance, as the angle changes, the height and the elevation of the kite can drastically vary, which can make for some pretty exciting equations to solve while having fun outside! Next time you're out, try estimating the height of your kite - it's a great exercise in angles and measurements!