(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

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

rotation point l

step-by-step explanation: