contestada

You're sitting on the ledge of a wall that is 300 feet away from a building. You have to
look up 60 degrees to see the top of the building and down 15 degrees to see the
bottom of the building
Enter your work below to show how to find the height of the building, Explain or show
.
your reasoning
Please

Respuesta :

The total height of the building in question is;

600 ft

Angle of Elevation

The ledge of a wall is simply a projection from a building.

Now, we are told that this ledge is 300 ft from the building.

  • Angle of elevation to the building top = 60°
  • Angle of depression to the building bottom = 15°

Now, from the attached image, the distance from the ledge on the building wall to the top of the building is x.

  • Thus, by trigonometric ratio;

x/300 = tan 60

x = 300 × 1.732

x ≈ 520 ft

  • Similarly, via trigonometric ratio;

y/300 = tan 15

y = 300 × 0.2679

y ≈ 80

Thus;

Height of building = 520 + 80

Height of building = 600 ft

Read more about angle of elevation at;https://brainly.com/question/2881595

Ver imagen AFOKE88