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Math Help - Right Triangle Trig Applications (Needs checking)

  1. #1
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    Right Triangle Trig Applications (Needs checking)

    Okay i'm doing h.w. right now and i'm trying to solve these without having to look at my notes:


    The angle elevation of the sun is 40 degrees. To the neaest foot, find the height of a tree whose shadow is 35 ft long.

    35 x tan (40) = 29 degrees


    A washington monument is 555 ft high If you are standing one quarter of a mile or 1320 ft, from the base of the monument, and looking to the top, find he angle of elevation to the nearest degree.

    -1 tan (555/1320) = 2 degrees

    A road is inclined at an angle of 5 degrees. After driving 5000 ft along this road, find the driver's increase in altitude. Round to the neares foot.

    This one and the next one, i'm a bit lost at going about solving. Would I use sin for this?

    A telephone pole is 55 ft tall. A guy wire 88 ft long is placed from the ground to the top of the pole. Find the distance between the wire and the pole to the nearest degree.
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    Quote Originally Posted by MajorJohnson View Post
    Okay i'm doing h.w. right now and i'm trying to solve these without having to look at my notes:


    The angle elevation of the sun is 40 degrees. To the neaest foot, find the height of a tree whose shadow is 35 ft long.

    35 x tan (40) = 29 degrees
    The 29 is correct but why did you say degrees?
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  3. #3
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    Oh, sorry I meant 29 ft.

    What about the second one?
    Last edited by MajorJohnson; March 9th 2011 at 04:13 PM.
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    Quote Originally Posted by MajorJohnson View Post
    Oh, sorry I meant 29 ft.

    What about the second one?
    I get \displaystyle \theta = \tan^{-1}\frac{555}{1320}= 22.8^o

    Use pythagora's thoerem for the third one.
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  5. #5
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    I must have misread my calculator when i punched it in, I had those exact steps written out.

    For the third one, i've done this, not sure if its right though:

    5000 x tan(5) = 437.4

    a + 437.4 = 5000

    4563 ft

    On a side note, how did you get that problem to show up like that?
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