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applications of the sine rule worksheet

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1. Consider the given triangle. a. First, find the value of ∠BAC. b. Find the length of c correct to 2 decimal places. 2. Consider the following diagram: a. Find the value of ∠OBA. b. Find the length of k correct to 2 decimal places. 3. Buzz is standing on a hill and can see two buildings in the distance. Suppose the buildings are kilometres apart. If Buzz is kilometres from one building and the angle between the two lines of sight to the buildings is °, how far is Buzz from the second building? a. First, if °, find to two decimal places. b. Now find the size of to two decimal places if necessary. c. If Buzz is metres from the second building, find the value of to one decimal place.

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Trigonometry, Non right angle Sine Rule.Year 10-12

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  • 1. Consider the given triangle.

    a. First, find the value of BAC.

    b. Find the length of c correct to 2 decimal places.

    2. Consider the following diagram:

    a. Find the value of OBA.

    b. Find the length of k correct to 2 decimal places.

    3. Buzz is standing on a hill and can see two buildings in the distance. Supposethe buildings are kilometres apart. If Buzz is kilometresfrom one buildingand the angle between the two lines of sight to the buildings is , how far isBuzz from the second building?

    a. First, if , find to two decimal places.

    b. Now find the size of to two decimal places if necessary.

    c. If Buzz is metres from the second building, find the value of to onedecimal place.

  • 4.

    5.

    6.


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