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Math Help - Trig problem

  1. #1
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    Trig problem

    A vertical mast [xy] stands on a level ground. A straight wire joins y, the top of the mast to t, a point on the ground. The point r is 50m from x, the base of the mast.

    (i) Find the height of the mast |xy| if |<ytx| = 56.31 degrees.

    (ii) A second straight wire joins y to k, another point on level ground. The length of this wire is 100m, find |<ykx|

    Can somebody do this for me? I'm having serious trouble. I have like 10 similar ones of these to do.
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  2. #2
    MHF Contributor
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    West Malaysia
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    Quote Originally Posted by derek445 View Post
    A vertical mast [xy] stands on a level ground. A straight wire joins y, the top of the mast to t, a point on the ground. The point t is 50m from x, the base of the mast.

    (i) Find the height of the mast |xy| if |<ytx| = 56.31 degrees.

    (ii) A second straight wire joins y to k, another point on level ground. The length of this wire is 100m, find |<ykx|

    Can somebody do this for me? I'm having serious trouble. I have like 10 similar ones of these to do.
    hi

    i think you meant t , (in red)

    first of all , make a sketch . Let yx be h

    (1) tan 56.31 = h/50

    h=50 tan 56.31

    (2) lets call that angle p .

    sin p=h/100

    sin p=(50 tan 56.31)/100

    calculate p .
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  3. #3
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    Thank you.
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  4. #4
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    Just to confirm I have the correct answers here, my calculator is a little dodgy haha

    I got 67.1 for the first and 0.6710 for the second. Are these correct or do I need a new calculator? :P
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