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

     Option (1) will be the correct option.

Find the sine of the angle measuring 30°,

Similarly, find cosine of the given angle,

cos(30°) =

   Therefore, Option (1) will be the correct option.

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A

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle and

tan30° = , sin30° =

tan30° = =

Multiply both sides by b

b × tan30° = 5, that is

b × = 5

Multiply both sides by

b = 5

and

sin30° = =

Multiply both sides by c

c × sin30° = 5, that is

c × = 5 ( multiply both sides by 2 )

c = 10

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