Step-by-step explanation:
since we are required to find side |BC| and the value of side |AB| is given as 6.3 cm
hence we find the cosine of the given angle...
cos71 = adjacent ÷ hypotenuse
cos71 = |AB| ÷ |BC|
cos 71 = 6.3 ÷ |BC|
|BC| = 6.3 ÷ 0.325
|BC| = 19.4 cm
From the given diagram , the length of side BC is 19.4 rounded to 3 significant figures
Given
The right angle triangle with side and an angle
We need to find out the hypotenuse BC
we are given with adjacent side AB
Lets use trigonometric ratio cos
[tex]cos(B)=\frac{adjacent }{hypotenuse } \\cos(71)=\frac{AB}{BC} \\cos(71)=\frac{6.3}{BC} \\BC cos(71)=6.3\\BC=\frac{6.3}{cos(71)}[/tex]
Use calculator to find out BC
BC=19.3508
Round the answer to 3 significant figures
So BC= 19.4
Length of side BC = 19.4
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