Answer:
73 feet.
Step-by-step explanation:
Given:
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.
The pole is 48 ft tall.
Question asked:
What is the length of the rope?
Solution:
Here we found that a right angle triangle is formed in which base and height is given as shown in the figure, we have to find the longest side of the triangle,
Base = 55 feet
Height = 48 feet
Length of the rope = ?
By Pythagoras theorem:
Square of longest side = Square of base + Square of height
[tex](Longest\ side)^{2} =[/tex] [tex]55^{2} +48^{2}[/tex]
[tex](Longest\ side)^{2} =[/tex] [tex]3025+2304[/tex]
[tex](Longest\ side)^{2} =[/tex] [tex]5329[/tex]
Taking root both side
[tex]\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}[/tex]
[tex]Longest\ side =[/tex] [tex]73[/tex]
Thus, length of the rope is 73 feet.
