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.
To find the value of MN
We have, Hypotenuse² = Base + Height²
MO² = NO² + MN²
MN² = MO² - NO² = 8² - (4√3)² = 64 - 48 = 16
MN = √16 = 4
To find <NMO
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.
