Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 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.

Your given scenario should look something like this:

|dw:1579057136277:dw|

So you need to find x. You can do that with your trig ratios. The relation between x and the given length is opposite/hypotenuse from the angle. That means that you need to take the sine of 40° and equate it to the ratio of the opposite leg over the hypotenuse:

sin(40°)=\frac{x}{100}

Isolate x and solve.

Step-by-step explanation:Multiply all by 100, then use your calculator to evaluate the value of x.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1