Introduce two notations and write two equations for the tangents of the angles shown.
First, it's 46.27, not 40.27. Second, your equations are wrong because of the order of operations. Last, make sure that the tangent function interprets its arguments as given in degrees, not radians. The correct system gives the height between 440 and 470 feet.
Hello, Imonars!
I would set it up like this:
A man stands at and sights the top of the pyramid .Code:o C * * | * * | * * | * * |h * * | * β * α | B o - - - - - - o - - - - - - o D : 100 A x :
The angle of elevation is
He moves 100 feet away to point
The angle of elevation is
The height of the pyramid is:
Let
In .[1]
In .[2]
Equate [2] and [1]: .
Multipy by
. .
. .
. . . . . . . . . . . .
Therefore: .