The distance d is 9 ft and the height is 12ft.
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How to find the distance and the height?</h3>
Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.
The height is one cathetus and the distance is the other catheti.
Let's define:
- h = height
- d = distance.
- hypotenuse = 15ft
We know that the height of the tower is 3 ft larger than the distance, then:
h = d + 3ft
Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then:
Now we can solve this equation for d:
Then the solutions are:
We only take the positive solution:
d = (-3ft + 21ft)/2 = 9ft
And the height is 3 ft more than that, so:
h = 9ft + 3ft = 12ft
The distance d is 9 ft and the height is 12ft.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:
Mperpendicular=6
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Answer:
Theyre out of order.
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Answer:
A student is sitting at a desk, getting ready for a math test.
Oh...no…I’m in big trouble. In all the days, why today do we have to have a pop quiz in math? I didn’t EVEN study! I just hate math! Ever since I started algebra, math has gotten harder and harder! Every time I look at an equation, the numbers get all mixed up and jumbled in my brain, and I try to remember the way to solve the problem. And by the time I find out how to solve that problem, HALF of the class is already DONE! But today might be a different day. Like they say, if you believe in yourself, anything is possible. Oh,no, Mr. Boyd is coming! (The teacher places the quiz in front of her/him.) (She/he looks at the quiz.) Oh, this doesn’t look half as bad. Ok, if two x plus fifty equals four x plus nine, then you bring the two over and… oh no! I forgot what you do next! (Sighs) ok, focus, focus. Breathe in, and breathe out.(Sighs) Ok, I got this.(Completes the rest of the quiz without a problem.) Finished! (Teacher comes by to collect his/her work.) Ok, I think I did good. I swear for the REST of my life I will never do a math problem again!
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Hope you like it. I have hard time with Algebra.
