The value of AD in triangle ABC is approximately 9 cm.
BC = 6cm
Using trigonometric ratio for triangle CBD
sin 60° = opposite / hypotenuse
0.86602540378 = DC / 6
cross multiply
DC = 6 × 0.86602540378
DC = 5.19615242271
DC = 5.20 cm
Let's find side AD as follows:
tan 60° = AD / adjacent
AD = 5.20 × tan 60°
AD = 9.00666419936
AD ≈ 9 cm
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I believe the answer is c, TSR
V ⋅ w = <2, -8, -8> ⋅ <-2, 6, -5> = 2(-2) + -8(6) + -8(-5) = -4 + -48 + 40 = -12
<span>v ⋅ w = -12</span>
Step-by-step explanation:
<em>Vamsi is X years old</em>
Vamsi = X
<em>his brother is 3 years elder to him</em>
Brother = X + 3
<em>his uncle is 4 times his age</em>
Uncle = 4X
<em>his aunt is 5 years younger than his uncle</em>
Aunt = Uncle - 5
<em>what will be the age of his uncle 6 years from now</em>
= 4X + 6
<em>what are the ages of vamis brother, uncle and aunt?</em>
Assume Vamis = 15 years
Brother = X + 3 = 15 + 3 = 18
Uncle = 4X = 4 * 15 = 60
Aunt = Uncle - 5 = 60 - 5 = 55
<em>what will be the age of his uncle 6 years from now</em>
Uncle = 4X + 6 = 60 + 6 = 66
