quinn is flying a kite. The angle of elevation formed by the kite stribg and the ground is 44°, and the kite string forms a straight segment that is 90 feet long. Explain how to find the distance between the ground abd the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

The hypotenuse of the triangle represents the length of the kite string (90 feet).
The height of the triangle represents the vertical distance between the ground and the kite.
The angle between the ground and the kite string is the angle of elevation (44°).

To find the distance between the ground and the kite, we can use trigonometry. As we have the length of the hypotenuse, and wish to find the length of the side opposite the angle, we can use the sine ratio:

[tex]\boxed{\begin{array}{l}\underline{\textsf{Sine trigonometric ratio}}\\\\\sf \sin(\theta)=\dfrac{O}{H}\\\\\textsf{where:}\\\phantom{ww}\bullet\;\textsf{$\theta$ is the angle.}\\\phantom{ww}\bullet\;\textsf{O is the side opposite the angle.}\\\phantom{ww}\bullet\;\textsf{H is the hypotenuse (the side opposite the right angle).}\end{array}}[/tex]

Let x be the distance between the ground and the kite.

Therefore, in this case:

θ = 44°
O = x
H = 90 ft

Substitute the values into the sine ratio and solve for x:

[tex]\sin 44^{\circ}=\dfrac{x}{90} \\\\\\x=90\sin 44^{\circ}\\\\\\ x=62.519253341...\\\\\\x=63\; \sf ft\;(nearest\;foot)[/tex]

Therefore, the distance between the ground and the kite rounded to the nearest foot is:

[tex]\LARGE\boxed{\boxed{ \sf 63\;feet}}[/tex]