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March 28th, 2013, 04:01 AM   #1
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Height of the tower

The angles of elevation of the top of a tower from two points distant "s" and "t" from its foot are complementary.
Prove that the height of the tower is.
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March 28th, 2013, 04:54 AM   #2
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Re: Height of the tower

You have two right-angled triangles. One side is mutual, the height (h) of the tower. The other side is s and t. The connection between the two perpendicular sides is h/s = tan(alpha) in one triangle and h/t = tan(90-alpha). Try to finish the proof.
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March 28th, 2013, 04:59 AM   #3
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Re: Height of the tower

Let h be the height of the tower.

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March 28th, 2013, 05:20 AM   #4
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Re: Height of the tower

Hello, rakmo!

Quote:
The angles of elevation of a top of a tower from two points with distances and
from its foot are complementary.[color=beige] .[/color]Prove that height of the tower is

Code:
                        o P
                     * *|
                  *   *a|
               *     *  | h
            *       *   |
         * a       * b  |
      o-----------o-----o
      Q           R  t  S
      : - - -  s  - - - :












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