Trigonometry- Finding an Angle

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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Comments 7 comments

billyaustindillon profile image

billyaustindillon 6 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. :)


t.elia profile image

t.elia 6 years ago from Northern Ireland Author

Thankyou very much billy, much appreciated


Lyth 5 years ago

That was helpful thanks :)


dana 4 years ago

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


Vanessa 4 years ago

That was helpful


sharon 4 years ago

Thank you very much..It really helps me


t.elia profile image

t.elia 3 years ago from Northern Ireland Author

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