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Trigonometry- Finding an Angle

Updated on October 4, 2010

Example 1

 

Here in this hub we are going to continue using Trigonometry to find the size of an Angle.

 

In this example we need to find the value of “theta”  θ  to the nearest degree.

 

As in the previous hubs we are going to use the Trigonometric Ratios;

 

                                                              

   S O/H                C A/H               T O/A             

First we need to identify the two sides we are dealing with in this question.

The 16 is directly opposite “theta“

The hypotenuse is the longest side and marked by the 20

 

We are dealing with opposite and hypotenuse in this equation.

Therefore we are going to use the S O/H ratio;

 

Example 2

 

Again in this example we need to find the value of “theta”  θ  to the nearest degree.

 We are going to use the Trigonometric Ratios;

 

S O/H                C A/H               T O/A  

 

 

We need to identify the two sides we are dealing with in this question.

 

The 15 is directly opposite “theta” θ

 

The 16 is adjacent to “theta” θ

 

We are dealing with opposite and adjacent in this equation.

 

Therefore we are going to use the  T O/A   ratio

 

 

Example 3

 

Here we need to find the value of “theta”  θ  to the nearest degree.

 

We are going to use the Trigonometric Ratios;

 

S O/H                C A/H               T O/A             

 

 

Now we need to identify the two sides we are dealing with in this question.

 

The 17 is adjacent to “theta” θ

 

The hypotenuse is the longest side and marked by the 26

 

We are dealing with opposite and hypotenuse in this equation.

 

Therefore we are going to use the   C A/H     ratio.

 

 

 

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    • t.elia profile imageAUTHOR

      t.elia 

      5 years ago from Northern Ireland

    • profile image

      sharon 

      6 years ago

      Thank you very much..It really helps me

    • profile image

      Vanessa 

      6 years ago

      That was helpful

    • profile image

      dana 

      6 years ago

      thanks so much, this saved me from completely pulling my hair out over my year 10 extention maths homework :)

    • profile image

      Lyth 

      7 years ago

      That was helpful thanks :)

    • t.elia profile imageAUTHOR

      t.elia 

      8 years ago from Northern Ireland

      Thankyou very much billy, much appreciated

    • billyaustindillon profile image

      billyaustindillon 

      8 years ago

      This is an awesome follow through lesson on finding angles. I am just used to deltas and thetas in option prices these days. Brings back good memories too. I will save your hubs for when my sons need some Maths help. :)

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