Question 3 Essay Worth 10 points) (05.02 MC)
Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a straight segment that is 100 feet long.
Explain how to find the distance between the ground and 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.
I
Question 4 Essay Worth 10 points)
IN 02
I

The distance between the kite and the ground is 64.29 feet  

Step-by-step explanation:

The given information are;

The angle of elevation between the kite and the ground = 40°

The length of the kite string holding the kite at the given elevation = 100 feet

To find the distance between the kite and the ground, we construct a right angled triangle with given information as follows;

The hypotenuse side of the right angled triangle, l = The length of the kite string  = 100 feet

The angle of elevation between the kite and the ground, 40°, will be at the base portion of the hypotenuse side

The distance between the kite and the ground will be the leg of the right triangle opposite the angle of elevation (the height, h, of the right angled triangle)

The other leg of the right angled triangle will be the base, b, of the right angled triangle

By trigonometric ratios, the height of the right angled triangle which represents the distance between the kite and the ground is found as follows;

sin(40°) = h/l = (The height of the right angled triangle)/(The hypotenuse side of the right angled triangle) = (The distance between the kite and the ground)/(The length of the kite string)

∴ sin(40°) =  (The distance between the kite and the ground)/(100 feet)

The distance between the kite and the ground = 100 feet × sin(40°) = 64.29 feet.