Question

The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the building. How tall is the skyscraper?

Answer 1

Well, I guess you start with a triangle.

Let O be the point 1 mile from the building.
Let B be the bottom of the building
Let H be the top of the building.

Angle HOB is given (2 degrees)
Side OB is given as 1 mile (5280 feet)

So side BH = the height of the building
tan(HOB) = BH / OB
BH = OB * tan(HOB)

Answer 2

|
| h
|
|________________________2°__
e = 1 mile

tan 2° = h/e
h = e * tan 2°
h = 0.0349 miles = 61,46 yard

Answer 3

0.0349207695 mi

Answer 4

you lost me after tan(2)=x/1

Answer 5

h=184.4 ft.

Answer 6

got it, thanks:)