IXL - Trigonometric ratios: find an angle measure (Algebra 2 practice)

Find

∠

ref_doc_title.

Learn with an example

question

Find

∠

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

Find

sin

(

)

Find the sine

(

sin

)

∠

sin

(

)

Definition of sine

opp

hyp

Definition of sine

Substitute

opp

and

hyp

Substitute

opp

and

hyp

Plug in

and

Plug in

and

Rationalize the denominator

Multiply

130

Multiply

Simplify

So,

sin

(

)

Find

∠

If you remember that

sin

60°

then you know that

∠

60°

Looking for more? Try these:

Lesson: Trigonometric ratios

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Not feeling ready yet? These can help:

II.12Inverses of sin, cos, and tan: radians

II.3Trigonometric ratios: sin, cos, and tan

Lesson: Trigonometric ratios

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