Answer
See below
Work Step by Step
We will apply the Pythagorean expression to find the distance of the home from the station:
$$c^2=a^2+b^2\\c^2=35^2+56^2\\c^2=1225+3136\\c^2=4361\\c=\sqrt 4361\approx66.04$$
Since $66.04 \gt 65$, we cannot hear the radio station from the house.