Question

Clint wants to keep a young tree from blowing over during a high wind.he decides that he should tie a rope around the tree at a height of 180 cm and then tie the rope 200cm from the base.allowing 30 cm of rope for doing the tying will the 270 cm rope he has be long enoigh to do the job.
Show work please

Answer 1

The rope tied to the tree will make a triangle.

The height of the triangle = 180cm
The base of the triangle = 200cm

to find how much rope you need, work out the hypotenuse using Pythagoras:

180^2 + 200^2 = 72400
√72400 = 269.0724809

This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:

269.0724809 + 30 = 299.0724809

299.0724809 is less than the 270cm of rope he has, so he would need more.