Trigonometry Triangle Help: Finding Unknown Angles and Sides

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SUMMARY

The discussion focuses on solving trigonometric problems involving right triangles. The triangle presented has a hypotenuse of 10 meters and an opposite side of 4 meters, requiring the calculation of the adjacent side and the angle (feta). The correct approach involves using the sine function, defined as the ratio of the opposite side to the hypotenuse, leading to the calculation of feta using sin-1(4/10). Additionally, the discussion clarifies the application of sine in real-world scenarios, such as calculating the height of a plane using the formula 2000 x sin(50 degrees).

PREREQUISITES
  • Understanding of basic trigonometric functions: sine, cosine, tangent
  • Familiarity with right triangle properties
  • Knowledge of inverse trigonometric functions
  • Ability to apply trigonometric ratios in practical problems
NEXT STEPS
  • Study the definitions and applications of sine, cosine, and tangent in right triangles
  • Practice solving for unknown sides and angles using trigonometric ratios
  • Learn how to use inverse trigonometric functions for angle calculations
  • Explore real-world applications of trigonometry, such as navigation and engineering
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric concepts, and anyone needing to apply trigonometric functions in practical scenarios.

blueparukia
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First off, I was just moved up a grade (about 2 week ago) and the class is studying trigonometry.


Homework Statement


I have a triangle:
Hyp = 10m
Opp = 4m
Adj= Unknown
Feta = Unknown

And I need to find feta.

Homework Equations


?


The Attempt at a Solution


Well, I have tried a lot of random things lol.
E.g: sin-1 (10x4)

Well, that's actually about it.


I also have another question. Exactly from the revision sheet.
By using a radar beam. an observer at A determinses that a plane at B is 2000 metres away (AB=2000) Use the information given to calculate the height of the plane above the horizontal \overline AC The angle is 50 degrees. I know the answer is 2000xsin 50, but how do I know t is sin? The teacher gave me the answer, but I don't know how she came up with sin :(


Please help,

BP
 
Last edited:
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In order to do that, you first need to know the definitions of sine, cosine, etc!

sine is defined, in a triangle,as "opposite/hypotenuse", NOT "opposite times hypotenuse. You need to find sin-1(4/10).
 
4/10 thank you! I was using 4x10. Completely forgot.

Thankl you,

BP
 

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