A rope from the top of a pole is anchored to the

Ответ:

meowmeowcow

22.01.2022

Mathematics

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

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

$Longest\ side =$

Thus, length of the rope is 73 feet.

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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?

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