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

Find

∠

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

∠

ref_doc_title.

Learn with an example

question

Find

∠

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

∠

key idea

The tangent

(

tan

)

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 adjacent leg

(

adj

)

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

tan

(

)

opp

adj

solution

Find

tan

(

)

Find the tangent

(

tan

)

∠

tan

(

)

Definition of tangent

opp

adj

Definition of tangent

Substitute

opp

and

adj

Substitute

opp

and

adj

Plug in

and

Plug in

and

Divide

1.4

Divide

So,

tan

(

)

1.4

Find

∠

Use a calculator's inverse tangent function

(

tan

-1

)

to find

∠

tan

(

)

Given

1.4

Given

tan

-1

[

tan

(

)

]

Take the inverse tangent

(

tan

-1

)

of both sides

tan

-1

1.4

Take the inverse tangent

(

tan

-1

)

of both sides

∠

Simplify

tan

-1

[

tan

(

)

]

tan

-1

1.4

Simplify

tan

-1

[

tan

(

)

]

∠

Find

tan

-1

1.4

54.462322…°

Find

tan

-1

1.4

To the nearest tenth,

∠

≈

54.5°

Looking for more? Try these:

Lesson: Trigonometric ratios

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

Lesson: Trigonometric ratios

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