Finding the Degree of of triangle.

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Homework Help Overview

The discussion revolves around determining the launch angle of a water balloon using quadratic equations representing its X and Y positions over time. Participants are exploring the relationship between the values derived from these equations and the geometric interpretation of the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to relate the quadratic equations to the geometry of the launch, questioning the assumptions about the angle being 45 degrees based on the values of X and Y. There is discussion about the use of trigonometric functions to find angles and the relevance of the lengths derived from the equations.

Discussion Status

The conversation is ongoing, with participants seeking clarification on the relationships between the variables and the geometric setup. Some have provided insights into the calculations, while others are questioning the assumptions and the methods used to derive the angle.

Contextual Notes

There is a noted confusion regarding the initial problem statement and the source of the quadratic equations. Participants are also considering the implications of the coordinates provided for the launch and how they relate to the angle calculation.

anto3232
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Homework Statement


I have to find the degree at which I am launching a water balloon and i have 2 quadratic formulas for the X and Y values versus time. The X and Y quadratic formulas for it was, X: 55.81t^2+(-2.197t)+0.5222
Y:52.62t^2+(-2.358t)+.4135


Homework Equations


Is A the length of x or y, and for 45 degrees shouldn't it be equal? for it to equal 45 degrees?


The Attempt at a Solution


Well i used a^2+b^2=C^2 and got 76.70, then i figured the angle of that side was 90 degrees so i set Sin (90)/76.70=sin (b)/52.62
and got .61 so i converted to % which is 61% but looking at the graph it didnt make much sense seeing as the length of A is greater than the Heigh (b) so wouldn't angle B, be smaller ?
 
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anto3232 said:

Homework Statement


I have to find the degree at which I am launching a water balloon and i have 2 quadratic formulas for the X and Y values versus time. The X and Y quadratic formulas for it was, X: 55.81t^2+(-2.197t)+0.5222
Y:52.62t^2+(-2.358t)+.4135


Homework Equations


Is A the length of x or y, and for 45 degrees shouldn't it be equal? for it to equal 45 degrees?
This space is for relevant equations, not questions. Anyway, how do you know that the balloon was launched at an angle of 45 degrees?
anto3232 said:

The Attempt at a Solution


Well i used a^2+b^2=C^2 and got 76.70,
For what, c? And what did you use for a and b?
anto3232 said:
then i figured the angle of that side was 90 degrees so i set Sin (90)/76.70=sin (b)/52.62
and got .61
For what? Help us out here. Is this sin(b)?
anto3232 said:
so i converted to %
Why did you do that? I have no idea why you'd want to convert to a percent.
anto3232 said:
which is 61% but looking at the graph it didnt make much sense seeing as the length of A is greater than the Heigh (b) so wouldn't angle B, be smaller ?

You need to show us how you got sides a and b of your triangle.
 
Mark44 said:
This space is for relevant equations, not questions. Anyway, how do you know that the balloon was launched at an angle of 45 degrees?
Thats what I am trying to figure out, I am pretty sure it didnt because for my y graph i got 52.62 and for the x graph i got 55.81 which isn't equal meaning it aint 45 Degrees, so what I am trying to say is since i know the a and b how do i figure out the angle?
For what, c? And what did you use for a and b?
a=the x which is 55.81 and b= the y which is 52.62.
For what? Help us out here. Is this sin(b)?

Why did you do that? I have no idea why you'd want to convert to a percent.


You need to show us how you got sides a and b of your triangle.
Well i thought A for some reason was the 55.81 and B was the 52.62 from the two quadratic formulas, but i think that isn't right...

Hmm hold on ill let me take a look at what I am doing
 
okay so i have a water balloon launcher, it starts off at 0.51410733857,0.404340993843
and at the end of the launch its at 1.2249085093,1.03940105622, this is in meters btw..
What i need to do is find the angle or degree it launch's at. Do i X2-X1/Y2-Y1 it? I don't know that would just give me the slope but could that help me get the angle?
 
What's the exact wording of the problem? It seems like the problem as you first described it is different from what you have now. Where did the quadratic equations come from?
 

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