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Sagot :
Answer:
BC = 17.2.
Step-by-step explanation:
Since CAB = 90º, this is a right triangle.
The triangle format is given below:
C
A B
We have that AB = 8.6, and angle B measures 60º.
Length of BC:
BC is the hypotenyse.
Side AB is adjacent to angle B = 60º.
In a right triangle, angle [tex]\alpha[/tex], it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
[tex]0.5 = \frac{8.6}{h}[/tex]
[tex]0.5h = 8.6[/tex]
[tex]h = \frac{8.6}{0.5}[/tex]
[tex]h = 17.2[/tex]
BC = 17.2.
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