A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled скачать в хорошем качестве

A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled

#2_pi_classes #class10maths #Aladderrestsagainstaverticalwallataninclinationαtothehorizontal #Aladderissetagainstawallatanangle45degreetotheground #Aladdermakes45degreewiththegroundwhenitleansagainstawall Three in One Question: 1. A ladder is set against a wall at an angle 45° to the ground. If the foot of the ladder is pulled away from the wall through a distance of 4 m its top slides a distance of 3 m down the wall making an angle of 30° with the ground. Find the final height of the top of the ladder from the ground and length of the ladder. 2. A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle β to the horizontal. Show that p/q = cosβ-cosα/sinα-sinβ. 3. A ladder makes 45° with the ground when it leans against a wall. The ladder slides down by 4 m along the wall and finally makes an angle of 30° with the ground. Find the length of the ladder.