Use the Given Information to Find the Exact Value of the Expression

Multiple Choice

Use the given information to find the exact value of the expression.
- $\sin \alpha = \frac { 24 } { 25 } , \alpha$ lies in quadrant II, and $\cos \beta = \frac { 2 } { 5 } , \beta$ lies in quadrant $\mathrm { I } \quad$ Find $\cos ( \alpha - \beta )$ .

A) $\frac { - 14 + 24 \sqrt { 21 } } { 125 }$
B) $\frac { 48 + 7 \sqrt { 21 } } { 125 }$
C) $\frac { 48 - 7 \sqrt { 21 } } { 125 }$
D) $\frac { 14 - 24 \sqrt { 21 } } { 125 }$