Question

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. What is the length of the rope?

Answer 1

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

               $(Longest\ side)^{2} =$  $55^{2} +48^{2}$

                $(Longest\ side)^{2} =$  $3025+2304$

               $(Longest\ side)^{2} =$  $5329$

                 Taking root both side

            $\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}$

                $Longest\ side =$  $73$

Thus, length of the rope is 73 feet.

                                     

Download docx