Question

Find the measure of the angle indicated (x). Round to the nearest tenth Show your work to support your answer

Answer 1

Answer:

Karen,  this type of question is such a tricky question, there is a lot of things that you just have to remember for these.  Also, this type of question is asked a lot on brainly,  you are in good company :P   This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm   Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky.  soooo...

Step-by-step explanation:

1st ,

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

with the above info,  we can solve your triangle  :P  not meant to sound "wrong"  .. anyway

look for the info you are given and what you want to find... and match that to one of the 3 formulas.  after  you've done this a few 100 times.. you'll just remember the above formulas.  :D

sooo I see that we want to find that angle ∅ and we know two of the sides and that this is a right triangle.. which means we can use the above formulas on this triangle.  So we know the adjacent side and the opposite side, to the angle,  soo lets use TOA

Tan(∅) = Opp / Adj

Tan(∅) = 4 / 13

now the algebra gets a little tricky here.. but it's just using the inverse function of the Tan to find the angle .. it's just going  backwards with the function is all.. nothing to see here... move along.. :D

take the inverse Tan function ( arcTan)  on both sides... sooo

∅ = arcTan( 4 /13 )      ( this will find the angle, but make sure your calculator is set to degrees.. and not radians )

∅ = 17.1027...°

So, now we know that angle ∅

SOH CAH TOA is super helpful for this kind of triangle problem :)