Answer
$856.5\space W$
Work Step by Step
Here we use the equation $P=FV$, where P - Power, F- Force applied, and V- Speed of the bicycle.
First of all, we have to convert $18.5\space km/h$ into m/s by multiplying this value by 1000m/ km, 1h/3600 s conversion factors.
$18.5\space km/h= (\frac{18.5\space km}{h})(\frac{1000m}{km})(\frac{1h}{3600\space s})= 5.1\space m/s$
Let's apply equation $F=ma$ to the bicycle to find the applied force for the bicycle by us.
$\nearrow \angle 6.22^{\circ} F=ma$ ; Let's plug known values into this equation
$F-10.8N-148gsin6.22^{\circ}\space N=0$
$F=(10.8+148\times 9.8\times 0.1)N$
$F=167.9\space N$
Let's write,
$P=FV$ ; Let's plug known values into this equation
$P= 167.9\space N\times5.1\space m/s$
$P=856.5\space W$
