How to find the length of AB
2 answers:
Answer:
The answer is option C
Step-by-step explanation:
To find the length of AB we use sine
sin∅ = opposite / hypotenuse
From the question
The hypotenuse is AB
The opposite is AC
So we have
sin 54 = AC/AB
sin 54 = 16 / AB
AB = 16/sin 54
AB = 19.777
<h3>AB = 19.78</h3>
Hope this helps you
Answer:
AB = 19.78
Step-by-step explanation:
From the diagram (Right-angle triangle):
AC = 16
AB = ?
Angle = 54°
Applying trig ratio:
Tan 54° = 16/BC
1.376381920 = 16/BC
Therefore;
BC = 16/1.376381920
BC = 11.62
To solve the length AB:
Cos 54° = BC/AB
0.587785252 = 11.62/AB
Solving AB gives:
AB = 11.62/0.587785252
AB = 19.78
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Hope it helps!
