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31 votes
31 votes
Find the value of each variable.
4V3
b
60°
45°
C
d

Find the value of each variable. 4V3 b 60° 45° C d-example-1
User Sreejith Sree
by
3.0k points

1 Answer

16 votes
16 votes

Answer:

a = 6, b = 6√2, c = 2√3, d = 6

Explanation:

Applying,

sin60° = a/4√3

Therefore,

a = sin60°×4√3

a = (√3/2)(4√3)

a = 3×2

a = 6

Also,

cos60 = c/4√3

c = cos60×4√3

c = 0.5×4√3

c = 2√3

also,

tan45 = a/d

d = a/tan45

d = 6/(1)

d = 6

Also,

sin45 = a/b

b = a/sin45

b = 6/(1/√2)

b = 6√2

User Gustaf Rosenblad
by
2.3k points