An electrical pole is 12.4m tall. It is supported by a guy wire that is 17.3 long. how far is the anchor of the guy wire to the

Question

N76 [4]

3 years ago

5

An electrical pole is 12.4m tall. It is supported by a guy wire that is 17.3 long. how far is the anchor of the guy wire to the

base of the electrical pole?

Mathematics

1 answer:

kari74 [83] · Answer 1 · 2022-03-13T16:58:01+03:00

The anchor of the guy wire is 12.06 meters away form base of electrical pole.

Further explanation:

The whole given scenario forms a right angle triangle. The pole is standing straight so it is the perpendicular while the guy wire goes from the top of pole to the anchor so it will be the hypotenuse. We have to finds the base.

Pythagoras theorem will be used.

Pythagoras theorem states that:

$H^2=B^2+P^2$

Given

Base=?

Perpendicular=12.4 m

Hypotenuse = 17.3 m

Putting the values

$(17.3)^2=B^2+(12.4)^2\\299.29=B^2+153.76\\B^2=299.29-153.76\\B^2=145.53\\Takeing\ Square\ root\ on \both\ sides\\\sqrt{B^2}=\sqrt{145.53}\\B=12.06\ m$

The anchor of the guy wire is 12.06 meters away form base of electrical pole.

Keywords: Pythagoras theorem, Hypotenuse

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