Slick Tensions

An object is hanging from a ceiling with the help of two cables arranged in such a way that a cable has a tension \(T_1\) on the object and forms and angle \(\theta=60^\circ\) with the ceiling and the other ones has a tension \(T_2\) and makes an angle \(\phi=30^\circ\). If the object has a mass \(m=10 \text{ kg}\), calculate \(|T_1| + |T_2| \) in Newtons to 2 decimal places.

In the image, \(g\) is the acceleration due to gravity and has a value of \(9.8 \text{ m/s}^2\).

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