Question

Need help
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

Answer 1

Your given scenario should look something like this:



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.

Answer 2

How do i isolate x?

Answer 3

Multiply all by 100, then use your calculator to evaluate the value of x.

Answer 4

So multiply 100 and 40 by 100?

Answer 5

Be sure to go on the calculator and use DEGREES, not radians, because the problem specifies the angle of elevation in degrees.

Answer 6

Uh if this is what you mean:

\(sin(40°)=\frac{x}{100}\)
\(100sin(40°)=x\)
Now just use your calculator to find the answer

Answer 7

i got 64.27

Answer 8

So that is, therefore, the distance between the ground and the kite.