This week in math 10 we started the trigonometry unit. It is going well I understand how to do everything. One thing we learned is how to find the missing side of a right-angle triangle only knowing one other side and a reference angle. For example:
I this picture I show all the steps of finding X. First I label all of the sides on the triangle. The H = hypotenuse, O = opposite, A = adjacent. The only side I know the length of is: A = 19 units. I am trying to find X which is on the opposite side. I write Soh Cah Toa to find what I need to put into my calculator. Toa (Tangent) using the opposite and adjacent sides. So I must use tangent. I have all the information I need to start the equation. First I write Tan 35 = x/19. The goal is to get the x by its self on one side of the equation. I multiply 19 onto each side to get the x alone. After adding the x19 you get 19 x Tan 35 = x. You then have to put into your calculator 19 x 35 then press the tan button and press the equals button. The answer is 13.3 units.