Cynthia is flying a kite in her back pasture. She let out 50 meters of kite string and the string makes an angle of elevation with the ground of 42. How high is the kite flying to the nearest tenth of a meter

Respuesta :

Using the slope concept, it is found that the kite is flying at a height of 45 m.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is the height h.
  • The horizontal change is of 50 m.
  • The angle is of 42º.

Hence:

[tex]\tan{42^\circ} = \frac{h}{50}[/tex]

h = 50 x tan(42º)

h = 45.

The kite is flying at a height of 45 m.

More can be learned about the slope concept at https://brainly.com/question/18090623