IXL - Law of Sines (Precalculus practice)

Find

60°

46°

Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Learn with an example

question

Find

122°

19°

Write your answer as an integer or as a decimal rounded to the nearest tenth.

key idea

The Law of Sines states

sin

(

)

sin

(

)

sin

(

)

where each lowercase letter (like

is the length of the side opposite the vertex labeled with the same capital letter (like

A).

If you know the measures of two angles and the length of one's opposite side (like

∠

and

a),

you can use the Law of Sines to solve for the length of the other angle's opposite side (like

b).

solution

Since you know the measure of

∠

the length

of its opposite side, and the measure of

∠

use the Law of Sines to find the length

of the side opposite

∠

sin

(

)

sin

(

)

sin

122°

sin

19°

0.848…

0.325…

0.848…

18.429…

15.628…

To the nearest tenth,

≈

15.6

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