Answer:
To solve for the value of z using the law of cosines, we need to use the formula:
z^2 = x^2 + y^2 - 2xy cos(angle z)
where x, y, and z are the sides of the triangle, and angle z is the angle opposite the side z.
In this case, we are given x = 24, y = 30, and angle z = 15 degrees. Substituting these values into the formula, we get:
z^2 = 24^2 + 30^2 - 2(24)(30) cos(15)
z^2 = 576 + 900 - 720 cos(15)
z^2 = 1476 - 720(0.9659) (using the cosine of 15 degrees, which is 0.9659)
z^2 = 1476 - 696.408
z^2 = 779.592
Taking the square root of both sides, we get:
z = 27.91 (rounded to two decimal places)
Therefore, the value of z is approximately 27.91 units.
Step-by-step explanation:
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Answer:
To solve for the value of z using the law of cosines, we need to use the formula:
z^2 = x^2 + y^2 - 2xy cos(angle z)
where x, y, and z are the sides of the triangle, and angle z is the angle opposite the side z.
In this case, we are given x = 24, y = 30, and angle z = 15 degrees. Substituting these values into the formula, we get:
z^2 = 24^2 + 30^2 - 2(24)(30) cos(15)
z^2 = 576 + 900 - 720 cos(15)
z^2 = 1476 - 720(0.9659) (using the cosine of 15 degrees, which is 0.9659)
z^2 = 1476 - 696.408
z^2 = 779.592
Taking the square root of both sides, we get:
z = 27.91 (rounded to two decimal places)
Therefore, the value of z is approximately 27.91 units.
Step-by-step explanation:
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#BrainliestMe
Answer: