IXL - Law of Sines (Geometry practice)

Find

98°

31°

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

ref_doc_title.

Learn with an example

question

Find

36°

23°

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

23°

sin

36°

0.390…

0.587…

0.390…

15.311…

5.982…

To the nearest tenth,

≈

6.0

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

G.1Solve proportions

Q.8Find trigonometric functions using a calculator

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!