IXL - Trigonometric ratios: find a side length (Geometry practice)

Find

63°

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

ref_doc_title.

Learn with an example

question

Find

56°

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

key idea

The sine

(

sin

)

of an angle in a right triangle is a ratio. It is the length of the opposite leg

(

opp

)

divided by the length of the hypotenuse

(

hyp

)

The opposite leg is the side across from the specified angle and the hypotenuse is the side across from the right angle.

sin

(

)

opp

hyp

solution

Use the definition of sine

(

sin

)

to write an equation, then solve for

sin

Definition of

sin

Definition of

sin

56°

Plug in

56°

and

Plug in

56°

and

0.829037…

Find

sin

56°

Find

sin

56°

0.829037…

Multiply both sides by

Divide both sides by 0.829037…

7.237307…

Divide both sides by 0.829037…

To the nearest tenth,

≈

7.2

Looking for more? Try these:

Lesson: Trigonometric ratios

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

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:

Q.1Trigonometric ratios: sin, cos, and tan

Q.2Trigonometric ratios with radicals: sin, cos, and tan

Lesson: Trigonometric ratios

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!