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Math Help - Bearings again! Please help!

  1. #1
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    Bearings again! Please help!

    Page 282 #4.

    Find the angle of elevation from a bench to the top of an 80 m high building if the bench is 105m from the foot of the building.

    The correct answer is 37 degrees and 18

    However, this is how I did it. I need to find the angle of elevation marked as "?" I did it with tan?=105/80 = 52.70 degrees.

    Note: The graph I attached was how I thought the graph should look like based on the question. It may be wrong.
    Thanks

    Any help would be appreciated!
    Attached Thumbnails Attached Thumbnails Bearings again! Please help!-.png  
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  2. #2
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    Quote Originally Posted by fabxx View Post
    Page 282 #4.

    Find the angle of elevation from a bench to the top of an 80 m high building if the bench is 105m from the foot of the building.

    The correct answer is 37 degrees and 18

    However, this is how I did it. I need to find the angle of elevation marked as "?" I did it with tan?=105/80 = 52.70 degrees.

    Note: The graph I attached was how I thought the graph should look like based on the question. It may be wrong.
    Thanks

    Any help would be appreciated!
    1. It is not a graph, it's a diagram.

    2. The ? is in the wrong place. It should be on the INSIDE of the triangle.

    3. \tan{?} = \frac{\textrm{Opposite}}{\textrm{Adjacent}}.

    The Opposite side is the HEIGHT (80m) and the Adjacent side is the LENGTH (105m).

    So it should be

    \tan{?} = \frac{80}{105}

    ? = \tan^{-1}{\left(\frac{80}{105}\right)}.
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