[Math10] What I learned this week (Oct 21)

This week, I learned how to use a calculator to calculate missing angles and side lengths on a triangle!

Example: Solve the right triangle!

triangle

Using a calculator, we can find this angle! First, find the missing side length! We can use the pythagorean theorem to find this:

calulator-gif1

The Value Rounds to 9.3!

 

Next we will find the value of angle x

First we will find the sides: Opposite, Adjacent and Tangent:

triangle-2

We now have three options on which calculator function we will use:

  1. SIN^{-1}( \frac{OPP}{TAN} )
  2. COS^{-1}( \frac{ADJ}{TAN} )
  3. TAN^{-1}( \frac{OPP}{ADJ} )

I’m going to use SIN! IMPORTANT: Make sure your calculator is set to degrees!

deg

Now, we enter in the equation like this (You can either use SIN^{-1} or aSIN):

calulator-gif2

That means angle x is 34^0

Finally we need to find the other angle! Since we already have the right angle and another angle. This will be easy all you have to do is subtract 34 from 90. This will give us 56^0

Now that we have solved the triangle! It looks like this:

triangle-complete

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