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Alona [7]
3 years ago
8

How do I do this lol

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

m∠NMO = 60° ⇒ answer (C)

Step-by-step explanation:

∵ ΔNMO is right triangle

∵ MO = 8 , NO = 4√3

∵ sin∠NMO = NO/MO

∴ sin∠NMO = 4√3/8 = √3/2

∴ m∠NMO = 60° ⇒ (30° - 60° - 90° triangle)

stich3 [128]3 years ago
8 0

Answer:

The correct answer is option C. 60°

Step-by-step explanation:

From the figure we can see that triangle MNO is aright angled triangle.

Right angled at N.

<u>To find the value of MN</u>

We have, Hypotenuse² = Base + Height²

MO² = NO² + MN²

MN² =  MO² - NO² = 8² - (4√3)² = 64 - 48 = 16

MN = √16 = 4

<u>To find <NMO</u>

Therefore the ratio of sides is

MN : NO : MO = 4 : 4√3 : 8 = 1 : √3 : 2

Therefore the angles are in the ratio

<MON : <NMO : <MNO = 30 : 60 : 90

so <NMO = 60°

Option C.  60°  is the correct answer.

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