To find out how high the kite is in the air, we can use trigonometry. Specifically, we'll use the sine function, which relates the angle of a right triangle to the ratio of the opposite side (the height of the kite) to the hypotenuse (the length of the string).
- Let \( h \) be the height of the kite.
- The angle with the ground is given as \( 27^\circ \).
- The length of the string (hypotenuse) can be found using the cosine function, where \( \cos(27^\circ) = \frac{adjacent}{hypotenuse} \).
However, since we need the height, we can use:
\[ \sin(27^\circ) = \frac{h}{50} \]
Now, we can rearrange this to solve for \( h \):
\[ h = 50 \cdot \sin(27^\circ) \]
Using a calculator to find \( \sin(27^\circ) \):
\[ \sin(27^\circ) \approx 0.4540 \]
Now substitute that value into the equation:
\[ h \approx 50 \cdot 0.4540 \approx 22.7 \text{ ft} \]
So the height of the kite is approximately 22.66 ft.
The correct answer is: 22.66 ft.