Magnitudes of Two Vectors $$V _ { a } \text { and } V _ { b } \text { are } 5 \text { and } 7 \text {, respectively, and the magnitude of their sum } V _ { s } \text { is }$$

Multiple Choice

magnitudes of two vectors $$V _ { a } \text { and } V _ { b } \text { are } 5 \text { and } 7 \text {, respectively, and the magnitude of their sum } V _ { s } \text { is }$$ $$10 \text { (i.e., } \left| V _ { a } \right| = 5 , \left| V _ { b } \right| = 7 , \left| V _ { s } \right| = 10 \text { ) . The angles } \theta \text { and } \beta \text { in the figure below are: }$$

A) $\theta = 40.5 ^ { \circ } , \beta = 27.7 ^ { \circ }$
B) $\theta = 27.5 ^ { \circ } , \beta = 40.7 ^ { \circ }$
C) $\theta = 48.5 ^ { \circ } , \beta = 37.7 ^ { \circ }$
D) $\theta = 14.5 ^ { \circ } , \beta = 17.3 ^ { \circ }$