In ΔMNO, the measure of ∠O=90°, the measure of ∠M=39°, and MN = 5.3 feet. Find the length of NO to the nearest tenth of a foot.

Question

Mathematics

Kona

8 August, 06:30

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=39°, and MN = 5.3 feet. Find the length of NO to the nearest tenth of a foot.

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Answers (1)

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Anneliese · Answer 1

3.3 ft

Step-by-step explanation:

Side NO is opposite the angle M, so the applicable trig relation is ...

Sin = Opposite/Hypotenuse

Opposite = Hypotenuse*Sin

NO = MN*sin (39°) = (5.3 ft) sin (39°)

NO ≈ 3.3 ft