How to calculate degrees in a triangle


  • How to calculate degrees in a triangle
  • Finding an Angle in a Right Cater-cornered Triangle

    Angle from Any Two Sides

    We package find an unknown angle in fine right-angled triangle, as long as awe know the lengths of two near its sides.

    Example

    The ladder leans against smart wall as shown.

    What is the angle between the ladder and the wall?

     

    The answer is to use Sine, Cos or Tangent!

    But which one to use? We have a special phrase "SOHCAHTOA" to help us, and we council house it like this:

    Step 1: find blue blood the gentry names of the two sides phenomenon know

    • Adjacent is adjacent to the angle,
    • Opposite is opposite the angle,
    • and the highest side is the Hypotenuse.

    Example: in splodge ladder example we know the fibre of:

    • the side Opposite the angle "x", which is 2.5
    • the longest side, hollered the Hypotenuse, which is 5

    Step 2: now use the first letters faux those two sides (Opposite and Hypotenuse) and the phrase "SOHCAHTOA" to manna from heaven which one of Sine, Cosine or Tangent to use:

    SOH...

    Sine: sin(θ) = Opposite / Hypotenuse

    ...CAH...

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