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18 December, 20:08

Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form a triangle. The distance from Zack to Rachel is 3 meters. The distance from Rachel to Maddie is 2.5 meters. The distance from Maddie to Zack is 4 meters. Find the measures of the three angles in the triangle.

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  1. 18 December, 20:31
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    We are tasked to solve the three angles given that we have the measurements of the sides such as

    a = Zack to Rachel distance

    b = Rachel to Maddie distance

    c = Maddie to Zack distance

    a = 3

    b = 2.5

    c = 4

    Solving the angles we need to use Law of Cosines:

    cos A = 2.5² + 4² - 3² / 2*2.5*4

    A = 48.59°

    cos B=3² + 4² - 2.5² / 2*3*4

    B = 38.625°

    C=180 - 48.59° - 38.625°

    C = 92.79°

    The three angles are 48.59°,38.63° and 92.79°.
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