8 5 practice using the law of sines


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  • How do you use the Law of Sines?

    The law of sine is explained in detail as follow: In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.
    In this case, the fraction is interchanged.
    It means that Sin A/a, instead of taking a/sin A.

  • Sine Rule.
    The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known.

  • What is an example of the sine law?

    Example: If the side lengths of △ABC are a = 18 and b = 20 with ∠A opposite to 'a' measuring 26º, calculate the measure of ∠B opposite to 'b'? Solution: Using the sine rule, we have sinA/a ​= sinB/b​ = sin26º/18​ = sin B/20​.

  • How can you apply Law of Sines in real life?

    One real-life application of the sine rule is the sine bar, which is used to measure the angle of a tilt in engineering.
    Other common examples include measurement of distances in navigation and measurement of the distance between two stars in astronomy.

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