Answer:
93.9 Newton meters
Explanation:
The torque is a product of the force acting on the pedal in a direction tangential to the (virtual) circle the pedal normally circumscribes during its motion.
In this case, we know that the force acting on the pedal is a gravitational one, which points downward. But that acts vertically, not tangentially. Luckily, we are also given the angle between the pedal and the horizontal so we can determine the desired tangential component. If you make a drawing of the pedal being at 35 degrees above horizontal, with gravity being vertical, and with the tangent being perpendicular to the arm of the pedal, you will see that the angle between the tangent and the vertical is the same as the angle between the pedal and the horizontal, namely 35 degrees. Knowing this, you can use cosine to determine the needed tangential component of the force, and calculate the answer.
(torque) = (gravity) x (pedal length) x (cos angle above horizontal)
(torque) = 65kg * 9.8 m/s^2 * 0.18 m * cos 35deg = 93.9 N.m
You would exert 93.9 N.m worth of torque.
