Question

Use the figure below to determine the length of sides b and c. options: b = 5√3, c = 10 b =10, c = 5√3 b = 5√2, c = 10√3 b = 5, c = 10√2
Please help

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

A

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle and

tan30° = $\frac{1}{\sqrt{3} }$, sin30° = $\frac{1}{2}$

tan30° = $\frac{opposite}{adjacent}$ = $\frac{5}{b}$

Multiply both sides by b

b × tan30° = 5, that is

b × $\frac{1}{\sqrt{3} }$ = 5

Multiply both sides by $\sqrt{3}$

b = 5$\sqrt{3}$

and

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{5}{c}$

Multiply both sides by c

c × sin30° = 5, that is

c × $\frac{1}{2}$ = 5 ( multiply both sides by 2 )

c = 10