Round your answer to the nearest hundredth.
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Answer:
The value of ∠A = 67.98°
Step-by-step explanation:
The right angled triangle is given as
Given ,
Value of AC = 3 units
Value of AB = 8 units
Value of ∠A = ?
By using Pythagoras theorem,
[tex]AB^{2}[/tex] = [tex]AC^{2} +BC^{2}[/tex]
[tex]8^{2} = 3^{2} + BC^{2}[/tex]
BC = [tex]\sqrt{55}[/tex]
By using Cos A = AC/AB
A = [tex]\cos^{-1}3/8[/tex]
A = 67.98°
The value of ∠A = 67.98°