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#36
You look up at a drone at an angle of elevation of 23º. Your eyes are 5 feet above the ground, and the distance to
the drone is 210 feet. What is the altitude of the drone? Round your answer to the nnearest tenth.
Altitude: about ___
feet

Respuesta :

Using the slope concept, it is found that the height of the drone is of about 94 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 of h - 5, in which h is the altitude of the drone.
  • The horizontal change is of 210 ft.
  • The angle is of 23º.

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

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

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