Save Environment!!!!!

Algebra Level 3

A rope swing hangs vertically down so that the end is 12 inches from the ground, and 48 inches from the tree.

If the swing is pulled across so that it touches the tree, it is 20 inches from the ground.

How long is the rope?


The answer is 148.

Aditya Gaur by Aditya Gaur , 96, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Asim Das
Dec 18, 2014

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Rubayet Tusher
Apr 17, 2015

Let, the length of the rope is X. Then, if we draw a parallel line to the ground from the point it touches the tree and the line intersects the vertical line at any point. Thus, we get a right-angled triangle of which, The Hypotenuse is X, The Base is 48 & The length of the Perpendicular is (X+12-20)=(X-8). So, by using Pythagorean Theorem, we can easily write that, (X^2) = ((X-8)^2) + (48^2). And, after doing a little calculation, we find, X=148 which is the answer.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...