Aladder 29 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. when the firefighter has climbed up 6 feet of the ladder, the ladder makes an angle of ? /3 with the ground. answer the two related rates questions below. (hint: use two carefully labeled similar right ) if h is the height of the firefighter above the ground, at the instant the angle of the ladder with the ground is ? /3, find dh/dt= feet/sec.(b) if w is the horizontal distance from the firefighter to the wall, at the instant the angle of the ladder with the ground is ? /3, find dw/dt= feet/sec.