Week 9 – Math 10 – Finding Angles

One thing I feel will be on the mid-term test will be finding angles on a right triangle. The way I find angles on a right triangle is…

The first step to finding the angle is to first distinguish what ratio we are going to use by narrowing it down by using “SOHCAHTOA” and we can see that the Adjacent side doesn’t have a unit on its side so we take off the ratios that use adjacent which removes Cosine and Tangent, leaving us with a Sine ratio. Then, we put it into an equation.

The second step is solving. once we have our equation, the first thing we need to do is isolate the variable which is that zero with a line through it also known as theta. So, in order to isolate the variable, we move the Sine to the other side of the equal sign which turns it negative, also called an “Inverse Sine”. once we put this on our calculator, we should get the answer 33.1 if we rounding to nearest tenths, but if we are rounding to nears whole number then we will be left with 33 and make sure you put a degree sign on you answer so we would have an answer of 33°.

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