Trig & Complex

Let $z$ be a complex number such that $z = 2(\cos 3 ^{\circ} + i \cos 87 ^{\circ}).$ Then $z^{5}$ can be expressed as $r( \sin \alpha^{\circ} + i \cos \alpha^{\circ}) ,$ where $r$ is a real number and $0 \leq \alpha \leq 90$ . What is the value of $r + \alpha ?$