# 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

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. :)

That was helpful thanks :)

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

That was helpful

Thank you very much..It really helps me

7