(Solved): At some point during their orbit, the location of the Earth and Moon relative to the Sun will be as ...

At some point during their orbit, the location of the Earth and Moon relative to the Sun will be as shown in the figure below. What are the magnitude, in $\mathrm{N}$, and direction of the force experienced by the Moon, in degrees below the Sun-Moon line, due to the Sun and the Earth? (The mass of the Moon is $7.35\times 10^{22}\mathrm{kg}$, the Earth has a mass $5.97\times 10^{24}\mathrm{kg}$, and the Sun has a mass $2.00\times 10^{30}\mathrm{kg}$. In the figure, the distance from the Moon to the Earth is $3.84\times 10^8\mathrm{m}$ and the distance from the Moon to the Sun is $1.50\times 10^{11}\mathrm{m}$.) A heavier mass $m_1$ and a lighter mass $m_2$ are $17.5\mathrm{cm}$ apart and experience a gravitational force of attraction that is $9.20\times 10^{?9}\mathrm{N}$ in magnitude. The two masses have a combined value of $5.50\mathrm{kg}$. Determine the value of each individual mass. $\begin{array}{ll}{m}_1=& \mathrm{kg}\\ m_2=& ?\mathrm{kg}\end{array}$