Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a straight segment that is 80 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

58 ft

Step-by-step explanation:

For simplicity, let's regard eye level as ground level.  Then the angle of elevation formed by the string and the ground is 46 degrees.  The triangle in question has a hypotenuse of 80 ft.  To answer this question, we need to find the length of the vertical side of the triangle, which is opposite the 46 degree angle:

(vertical side)                                     vertical side

= sin 46 degrees =

 hypotenuse                                             80 ft

Then:

(vertical side) = (distance from ground to the kite) = (80 ft)sin 46 degrees, or

(vertical side) = (80 ft)(0.719) = 57.55 ft (approximately) or 58 ft when rounded off appropriately

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer