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 :
[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]
Which means :
[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]
[tex] =\tt {R}^{2} = 36 + 64[/tex]
[tex] = \tt {R}^{2} = 100[/tex]
[tex] =\tt R = \sqrt{100} [/tex]
[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]
Thus, the hypotenuse of this triangle = 10 feet
▪︎Therefore, the length of the rope = 10 feet
