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.
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Question 4 Essay Worth 10 points)
IN 02
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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.

2x^2+5x+17

your welcome. : )

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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