Adult male heights in Molimba are normally distributed with mean 176 cm and standard deviation 4.8 cm.

(a) Find the probability that a randomly chosen adult male is taller than 170 cm. [3]

60% have heights between 170 cm and \(k\) cm, where \(k>170\).

(b) Find \(k\), correct to 1 decimal place. [4]