Which one of these expressions is equivalent to 3(x-2)?
1 answer:
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Answer: 1.64 units
Step-by-step explanation:
Given the following :
X = 39°
Y = 58°
AC = 4 units
Using triangle ABC with x = 39° and AC = 4UNITS,
USING THE Pythagoras, the SOHCAHTOA notation:
AC = opposite = 4units
AB = hypotenus
Sinθ = opposite / hypotenus
x = Θ = 39°
Sinx = opposite / hypotenus
Sin39° = 4 / AB
0.6293203 = 4 / AB
AB = (4 ÷ 0.6293203) = 6.3560629 units
Taking triangle ADC, with x = 58° and AC = 4UNITS,
AC = opposite = 4units
AD = hypotenus
Sinθ = opposite / hypotenus
y = Θ = 58°
Sinx = opposite / hypotenus
Sin58° = 4 / AD
0.8480480 = 4 / AD
AD = (4 ÷ 0.8480480) = 4.7167136 units
Difference between AB and AD
(6.3560629 - 4.7167136) = 1.6393493
= 1.64 units
