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

Find

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

64°

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

key idea

The cosine

(

cos

)

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

(

adj

)

divided by the length of the hypotenuse

(

hyp

)

The adjacent leg is the leg next to the specified angle and the hypotenuse is the side across from the right angle.

cos

(

)

adj

hyp

solution

Use the definition of cosine

(

cos

)

to write an equation, then solve for

cos

Definition of

cos

Definition of

cos

64°

Plug in

64°

and

Plug in

64°

and

0.438371…

Find

cos

64°

Find

cos

64°

4.383711…

Multiply both sides by 10

To the nearest tenth,

≈

4.4

Looking for more? Try these:

Lesson: Trigonometric ratios

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Work it out

Not feeling ready yet? These can help:

Q.6Find trigonometric functions of special angles

EE.4Multiply radical expressions

G.1Solve proportions

Lesson: Trigonometric ratios

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