(05.02 MC) 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.

The distance between the ground and the kite is 58 feet

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below.

The kite is flying at a certain height H we need to find. We know the string is L= 80 feet long forming an angle θ = 46°. The right triangle shown in the image will help us to apply the required trigonometric ratio to find the value of H.

Since H is the opposite side to the angle θ, and we know the hypotenuse of the triangle, we apply the sine of θ:

Solving for H:

Substituting the given values:

Rounding to the nearest foot:

The distance between the ground and the kite is 58 feet

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: