Answer:
x = 17 m
Step-by-step explanation:
The dimensions of the rectangular ceiling are 15 m by 8 m
We need to find the length of the string of lights need to be to reach from one corner of the ceiling to the opposite corner. Let it is x.
We need to find the diagonal of the rectangular ceiling. It can be calculated using Pythagoras theorem.
[tex]x^2=15^2+8^2\\\\x^2=225+64\\\\x^2=289\\\\x=\sqrt{289}\\\\x=17\ m[/tex]
So, the length of the string of lights is 17 m.
