Respuesta :

PHDFlopper
find the last angle:
180-(30+90)
180-(120)
60

Evaluate using sine rule:
[tex] \frac{c}{sinC} [/tex]=[tex] \frac{b}{sinB} [/tex]

c=[tex] \frac{bsinC}{sinB} [/tex]

=[tex] \frac{10sin90°}{sin30°} [/tex]

=20

The length of line segment AB is 20 feet (answer choice C)

Answer:

AB= 20 feet

Step-by-step explanation:

Given triangle ABC is a right angle triangle

Use trigonometric ratio to find the length of the Side AB

AB is the hypotenuse

Sin = opposite side divide by hypotenuse

[tex]sin(B)= \frac{AC}{AB}[/tex]

[tex]sin(30)= \frac{10}{AB}[/tex]

Cross multiply it

[tex]sin(30) \cdot AB= 10[/tex]

[tex]AB= \frac{10}{sin(30)}[/tex]

AB= 20 feet

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