In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree.

Question

Mathematics

Angeline Smith

10 March, 15:53

In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree.

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Answers (1)

Know the Answer?

Jonah Melton · Answer 1

m∠N ≈ 52.6°

Step-by-step explanation:

When we draw out our triangle, we see that in order to find the measure of our angle, we will have to use trig:

sin (x) = 31/39

x = sin^-1 (31/39)

x = 52.6431