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help!! illustrate and solve the problem presented below. show your complete solution.?

illustrate and solve the problem presented below. show your complete solution.

1. from two point P and Q that are 140ft apart, the lines of sight to a flagpole across a river makes angles 79° and 58° respectively, with the lines joining P and Q. what are the distances from P and Q to the flagpole?

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  • Sepia
    Lv 7
    6 years ago
    Favorite Answer

    From two points P and Q that are 140 ft apart,

    the lines of sight to a flagpole across a river makes angles 79° and 58° respectively,

    with the lines joining P and Q.

    what are the distances from P and Q to the flagpole?

    Taking the flagpole as point F,

    we have to solve for triangle FPQ to get the values of PF and QF.

    The distances from P and Q to the flagpole are

    201.50753 and 174.08653 feet.

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  • Robert
    Lv 7
    6 years ago

    Draw a triangle, PFQ.

    We know angle FPQ = 79°, and angle FQP = 58°

    Then angle PFQ = 43°

    Now just use the law of sines to find FP and FQ.

    For instance, to find FQ, solve 140 / sin 43 = FQ / sin 79

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