Solve for n. Plse/thank you

n= 36.87°

Step-by-step explanation:

opp/hyp = sin(n)

12/20 = sin(n)

sin^-1 (12/20) = n

n= 36.87°

36.9°

Step-by-step explanation:

12 is the side OPPOSITE from the n° angle we're looking for. It is not touching the angle in any way; its completely way over on the OPPOSITE side of the right triangle. The 20 unit long side is the HYPOTENUSE of the right triangle (the longest side)

The trig function that puts together OPP and HYP is the sine function.

sin n° = OPP/HYP

sin n° = 12/20

sin n° = 0.6

Now you need a calculator to find the angle when you know the ratio (you have the ratio--its 12/20 or .6)

Probably (hopefully) above

the sin key on the calculator is sin^-1 or arcsin. You should use a shift key to use this function to find the angle. sin^-1 has nothing to do with -1 exponent, it is just the way to write "find the angle if you know the ratio"

sin ^-1 (0.6) = 36.87°

Some calculators even abbreviate arcsin even shorter to asin...(lame, bc too many different abbreviations!)

arcsin (0.6) = 36.87°

OR

asin (0.6) = 36.87°

Whatever the button says, it should come out the same. Round to the nearest degree 37° or round to the nearest tenth degree 36.9° or round to the nearest hundredth degree 36.87°

a negative exponent is translated as follows:

so, we have