SOLUTION: A ladder AB, which is set up with B on a horizontal ground and vertical wall, makes an angle of 71 degree with the ground. It is prevented from slipping by a tight rope PQ of lengt
Algebra.Com
Question 1132211: A ladder AB, which is set up with B on a horizontal ground and vertical wall, makes an angle of 71 degree with the ground. It is prevented from slipping by a tight rope PQ of length 1.6meters, fixed at P to the foot of the wall and at Q to the ladder, PQ being at the right angles to AB. Calculate in centimetres, the height AP of the ladder above P and length of the ladder..
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
The picture is something like this....
Given QP = 1.6, there are many paths to finding the height AP and the length of the ladder AB; I will outline one of them. It is probably not the most efficient; it is simply the path I saw first.
I hope that you will get solution(s) from other tutor(s) using different paths to the answers.
I leave the actual calculations to you. Note that the given length of PQ is in meters; the answers are to be in centimeters.
(1) Find QB using right triangle PQB:
(2) Find QA using similar triangles PQB and AQP: -->
(3) Find AP using right triangle APB:
As a check for the answers you get, my answers (in meters, to 1 decimal place) are AP = 4.9 and AB = 5.2.
RELATED QUESTIONS
A ladder AB, which is set up with B on a horizontal ground and vertical wall, makes an... (answered by ankor@dixie-net.com)
A ladder 5m long leans against a vertical wall with an angle of 70 to the ground. The... (answered by stanbon,Fombitz)
A ladder leans against a vertical wall and makes an angle of 60° with the ground and the... (answered by josgarithmetic)
A ladder leans against a vertical wall and makes an angle of 70 degrees with the ground.... (answered by TimothyLamb)
A 14-foot ladder is resting against a wall and makes an angle of 54° with the ground.... (answered by stanbon)
A 15-foot ladder is resting against a wall and makes an angle of 48 deg with the ground.... (answered by mathmate)
A 20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58... (answered by solver91311)
A stick is placed against a vertical wall with it foot on the horizontal ground. The... (answered by ikleyn)
A ladder, 5cm long leans against a wall so that it makes an angle of 60° with the... (answered by josgarithmetic)