Answer:
5151.48 cms
Step-by-step explanation:
We have to:
1.68 m is 1680 cm.
Now the rope forms another right triangle. PQB, we can find the value of QB as follows:
tan (71 °) = PQ / QB
Solving:
QB = PQ / tan (71 °)
Replacing we have:
QB = 1680 / 2.9
QB = 579.31
Knowing this value we can find QA using similar triangles PQB and AQP, like this:
QA / PQ = PQ / QB
Solved:
QA = PQ ^ 2 / QB
Replacing:
QA = 1680 ^ 2 / 579.31
QA = 4872
Finally, knowing QA, we can calculate the one we want to know AP:
Sin (71 °) = AP / AB
But AB = QA + QB = 4872 + 579.31, therefore AB = 5451.31
Solved:
AP = Sin (71 °) * AB
Replacing:
AP = 0.945 * 5451.31
AP = 5151.48 cms
