anonymous
  • anonymous
A rope 32 m long is attached to the top of a flagpole. The rope reaches a place on the ground 12 m from the base of the pole. How many meters high is the flagpole? If necessary, round your answer to the nearest tenth. A) 34.2 B) 54.0 C) 20.0 D) 29.7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Hello. Can you draw a simple picture of the problem?
anonymous
  • anonymous
how?
anonymous
  • anonymous
Just so you can visualize it, draw a picture of a flagpole on flat ground.

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anonymous
  • anonymous
o ok yes I thought you wanted it on here
anonymous
  • anonymous
Haha, sorry. I just meant on some scratch paper somewhere.
anonymous
  • anonymous
So after you have a flagpole, draw the 32m long rope (and label it 32m) from the top of the flagpole to the ground. The rope should reach 12 meters away from the bottom of the flagpole.
anonymous
  • anonymous
20m
anonymous
  • anonymous
"The rope reaches a place on the ground 12 m from the base of the pole" 12 meters is what I understood.
anonymous
  • anonymous
Regardless. So now you have a picture of a flagpole with rope going diagonally to the ground.
anonymous
  • anonymous
This picture looks an awful lot like a triangle, can we agree?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Great, do you know the parts of your triangles? Right now the rope is the hypotenuse and you should have it labeled 32 meters. From the flagpole to the point where the rope reaches the ground is 12 meters, and you should have it labeled accordingly.
anonymous
  • anonymous
The flagpole coming out of the ground makes a 90 degree angle, that is, the flagpole is perpendicular to the ground. This triangle is a right triangle.
anonymous
  • anonymous
kind of
anonymous
  • anonymous
Are we unclear about something?
anonymous
  • anonymous
no
anonymous
  • anonymous
Oh ok. So we do have a right triangle with the longest side, the hypotenuse being 32 meters. The base of the triangle is 12 meters, from the bottom of the flagpole to the rope.
anonymous
  • anonymous
Do you know about the Pythagorean Theorem?
anonymous
  • anonymous
ok yea I get that and not really sorry
anonymous
  • anonymous
It's fine. The Pythagorean Theorum says that: Triangle: Base ^2 + Height ^2 = Hypotenuse ^2
anonymous
  • anonymous
ok so 32^2 + 12^2 is the answer?
anonymous
  • anonymous
Not quite. So here we have the hypotenuse = 32m and we have the base = 12m. So if we just plug that into our equation: 12^2 + Height^2 (We are missing this variable) = 32^2
anonymous
  • anonymous
So if we evaluate: 144 + H^2 = 1024
anonymous
  • anonymous
Can you isolate and solve for H from here? H=Height of the flagpole.
anonymous
  • anonymous
I am sry I will just get help from my teacher I am just not getting it :(
anonymous
  • anonymous
Oh, it's alright.

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