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i calculated the distance between cities a and c and between cities b and if city b is located 100km from city a and the r

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I calculated the distance between cities A and C and between cities B and , if city B is located 100km from city A and the road that connects A with B forms an angle of 35° with the road that connects A with C

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Answer to a math question I calculated the distance between cities A and C and between cities B and , if city B is located 100km from city A and the road that connects A with B forms an angle of 35° with the road that connects A with C

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x^2 = AB^2 + AC^2 - 2 \cdot AB \cdot AC \cdot \cos(35^\circ)

100^2 + x^2 - 2 \cdot 100 \cdot x \cdot \cos(35^\circ) = x^2

10000 - 200x \cdot 0.8192 = 0

x \approx \frac{10000}{200 \cdot 0.8192}

x \approx 61.12 \text{ km}

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