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From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's
602 feet away, measuring horizontally. What's the balloon's vertical distance above
the ground? Round your answer to the nearest tenth of a foot if necessary.

Respuesta :

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

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 x.
  • The horizontal change is of 602 ft.
  • The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

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

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