Acute Angle - Geometry, Math Dictionary

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Angle Right Angle Geometric figures Acute Triangle

Acute Angle

Definition of An Acute Angle

Acute angle is an angle that measures between 0 and 90 degrees.

Examples of An Acute Angle

Any angle between 0 and 90 degrees is an acute angle.

7°, 30°, 41°, 60°, 67.6°, 73°, 89° etc. are all acute angles.

Solved Example on Acute Angle

Identify one or more acute angles in the figure shown.

Solution:

Step 1: It can be observed from the graph that angles AOB, BOC, COD, and BOD are acute.

Related Terms for Acute Angle

Acute

Angle
Right Angle

Additional links for Acute Angle

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Browse for solved examples below on this Math Dictionary term:

GA GPS BM curriculum > Second Grade > Geometry > M2G2.b: Recognize the shape of an angle as a right angle, an obtuse or acute angle.

California Assessment Curriculum - 2006 > Grade 4 > Geometry & Measurements > 4MG3.5-Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90°, 180°, 270°, and 360° are associated, respectively, with 1/4, 1/2, 3/4, and full turns.

Massachusetts Assessment Curriculum - 2006 > Geometry > Geometry > G.G.9-Define the sine, cosine, and tangent of an acute angle. Apply to the solution of problems.

Massachusetts Assessment Curriculum - 2006 > Algebra - 2 > Geometry > AII.G.1-Define the sine, cosine, and tangent of an acute angle. Apply to the solution of problems.

Massachusetts Assessment Curriculum - 2006 > Algebra 2 > Geometry > AII.G.1-Define the sine, cosine, and tangent of an acute angle. Apply to the solution of problems.

GA Assessment Curriculum - 2006 > Geometry > Euclidean Geometry > 28-Identifies and evaluates tangent, sine, and cosine ratios for an acute angle of a right triangle; uses a table, calculator, or computer to find the ratio for a given angle or find the angle for a given ratio.

GA Assessment Curriculum - 2006 > Second Grade > Geometry > M2G2.b-Recognize the shape of an angle as a right angle, an obtuse or acute angle.

New York Assessment Curriculum - 2006 > Algebra - 1 > Algebra > A.A.44-Find the measure of a side of a right triangle, given an acute angle and the length of another side.

Georgia Assessment Curriculum - 2006 > Geometry > Euclidean Geometry > 28-Identifies and evaluates tangent, sine, and cosine ratios for an acute angle of a right triangle; uses a table, calculator, or computer to find the ratio for a given angle or find the angle for a given ratio.

Georgia Assessment Curriculum - 2006 > Second Grade > M2G2 Students will describe and classify solid geometric figures according to such things as the number of edges and vertices and the number and shape of faces and angles. > M2G2.b-Recognize the shape of an angle as a right angle, an obtuse angle, or an acute angle.

NCERT Assessment Curriculum 2007 > > Introduction to Trigonometry > Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships betwe

NCERT Assessment Curriculum 2007 > Grade 5 > SHAPES & SPATIAL UNDERSTANDING > Represents right angle, acute angle and obtuse angle by drawing and tracing.

NCERT Assessment Curriculum - 2007 > Geometry > INTRODUCTION TO TRIGONOMETRY > Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios. Trigonometric Identities - Proof and applications of the identity sin² A + cos² A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

NCERT Assessment Curriculum - 2007 > Grade 5 > SHAPES & SPATIAL UNDERSTANDING > Represents right angle, acute angle and obtuse angle by drawing and tracing.

NCERT Assessment Curriculum 2008 > IBD Math > Introduction to Trigonometry > Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0º and 90º. Values (with proofs) of the trigonometric ratios of 30º, 45º and 60º. Relationships betwe

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