Question

John is looking at the eagle on top of a building. The height of the building is 60 feet.

Approximately how many feet is John away from the base of the building?

Answer 1

104 feet

Explanation:

Just took the test.

Answer 2

It is given in the diagram that the angle is 60 degree and the height of the building is 60 feet .

We have to find the distance of John from the base of the building.

Let that distance be x feet .

Now we use tan ratio formula which is

`tan \theta = (opposite)/(adjacent)`

In the diagram, opposite is x feet, and adjacent is 60 feet. So we will get

`tan 60 = (x)/(60)`

On cross multiplication, we will get

`x = 60 tan 60 = approx 104 feet`