Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from…

Question

asked May 12, 2022 175k views

1 Answer

Dave Griffith · Answer 1 · 2022-05-16T09:25:35+0000

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

$\color{hotpink} \tt{hypotenuse}^(2) \color{plum}= {base}^(2) + {height}^(2)$

Which means :

$= \tt {R}^(2) = {6}^(2) + {8}^(2)$

$=\tt {R}^(2) = 36 + 64$

$= \tt {R}^(2) = 100$

$=\tt R = √(100)$

$\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}$

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet