What is the measure of N to the nearest whole degree?
35°
45°
55°
65°
2 answers:
Answer:
55 degrees
Step-by-step explanation:
The figure shows that N is the vertex of a right triantle.
The opposite leg to N measures 5.74, the adjacent leg to N measures 4 and the hypotenuse measures 7.
Then you can states these ratios:
sin(N) = opposite leg / hypotenuse = 5.74 / 7 => N = arcsin(5.74 / 7) = arcsin(0.82) = 55.08 °.
cos(N) = adjacent leg / hypotenuse = 4 / 7 => N = arccos(4/7) = 55.15°
tan(N) = opposite leg / adjacent leg = 5.74 / 4 => N = arctan (5.74/4) = 55.13°.
Of course, you do not need to do the three calculations. I did it just to show you.
Answer: the value of N to the nearest whole degree is 55°
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