2.You have a special survey tool that lets you look up at objects at a 30 degree
angle relative to the ground. You place the object on the ground in such a way
that the nearby top of a building appears in the viewfinder. If the distance
from the tool to the bottom of the building measures 32 feet. What is the
height of the building in feet?

2You have a special survey tool that lets you look up at objects at a 30 degree angle relative to the ground You place the object on the ground in such a way t class=

Respuesta :

The height of the building as it appears on the view finder is 18.5 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the building.

Using trigonometric ratio:

  • tan(30) = h / 32
  • h = 32 * tan(30)
  • h = 18.5 feet

The height of the building as it appears on the view finder is 18.5 feet.

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