Use a sine or cosine ration to find the value of each variable. Round decimals to the nearest tenth.

Question

ammarah · Answer

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mathstudent55 · Answer

In these triangle problems you have to look at the information you are given. First, look at the right angle. The side opposite that angle is the hypotenuse. In this case it's "n". Then look at the angle that is not the right angle that you either have an angle measure or is an unknown you are solving for. Here it's a 50-degree angle. For the 50-degree angle, side "m" is next to it. So side m is adjacent to that angle of 50 degrees. the leg that measures 8 is opposite to the 50-degree angle.

anonymous · Answer

remembering this might help you out:

SohCahToa

mathstudent55 · Answer

To solve for n, keep in mind n is the hypotenuse. For the angle of 50 degrees, the only known side is the leg the measure 8 which is opposite the 50-deg angle. So you have an angle, and opposite side and a hypotenuse. What connects the opposite side to the hypotenuse? It's the sine bec sin A = opp/hyp
sin 50 = opp/hyp
sin 50 = 8/n
n = 8/sin 50

To solve for m, once again, look at the 50-deg angle. The side measuriong 50 is next to it, so it's an adjacent side. You need to connect the adjacent side to the hypotenuse which is n, so you use the cosine function:
cos 50 = adj/hyp
cos 50 = m/8
m = 8/cos 50

aravindg · Answer

@mathstudent55 nicely explained :)

ammarah · Answer

is the answer n=10.5?

aravindg · Answer

i got 10.44

aravindg · Answer

n=10.44

aravindg · Answer

@Chickenisgood  delete that u will get banned

ammarah · Answer

but it says to round to the nearest tenth