Answer:
see explanation
Explanation:
Using the exact values of the trigonometric ratios
sin60° =
, cos60° =

sin45° = cos45° =

Using the sine ratio on the right triangle on the left
sin60° =
=
=

Cross- multiply
2a = 4
×
= 12 ( divide both sides by 2 )
a = 6
Using the cosine ratio on the same right triangle
cos60° =
=
=

Cross- multiply
2c = 4
( divide both sides by 2 )
c = 2

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Using the sine/cosine ratios on the right triangle on the right
sin45° =
=
=

Cross- multiply
b = 6

cos45° =
=
=

Cross- multiply
d = 6
( divide both sides by
)
d = 6
------------------------------------------------------------------------------------------------
a = 6, b = 6
, c = 2
, d = 6