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BARSIC [14]
2 years ago
10

You're sitting on the ledge of a wall that is 300 feet away from a building. You have to

Mathematics
1 answer:
weeeeeb [17]2 years ago
7 0

The total height of the building in question is;

600 ft

<h3>Angle of Elevation</h3>

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;brainly.com/question/2881595

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