Thread: Pyramid

Hello guys, me and my friends are desperate.. We can't solve this, any ideas? Thanks!

Introduce two notations and write two equations for the tangents of the angles shown.

Thanks for the reply
We have tried to find x , h and then solve for h
tan (40.3) = h / x + 200
tan (40.27) = h / x + 100
then we found x and solved for h but we got numbers like 0.525 which seem impossible to represent a high

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.

Sorry about the mistake, we have rearranged the equation to be: (x + 100)tan(46.27) = (x + 200)tan(40.3) we are trying to find the height

Yes, this gives x(tan(46.27) - tan(40.3)) = 200 * tan(40.3) - 100 * tan(46.27), i.e.,



Then h = (x + 100) * tan(46.27).

h = 449.3
Thank you we got it!!

Strictly speaking, if we round the height to one decimal digit, it should be 449.4 because the following digit is 6.

Hello, Imonars!

I would set it up like this:

Code:

                                  o C
                              * * |
                          *   *   |
                      *     *     |
                  *       *       |h
              *         *         |
          * β         * α         |
    B o - - - - - - o - - - - - - o D
      :     100     A      x      :

A man stands at and sights the top of the pyramid .
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: .

That's how we got it, we handed in the paper 2 hours ago, the work is the same Thanks a alot