Given a right triangle where the length of the side opposite angle is inches and the hypotenuse is inches, what is ?
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
In a right triangle, one of the acute angles measures . What is the measure of the other acute angle?
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Verified step by step guidance1
Recall that the sum of the interior angles in any triangle is always \(180^\circ\).
In a right triangle, one angle is always \(90^\circ\) because it is a right angle.
Given one of the acute angles is \(60^\circ\), use the angle sum property to find the other acute angle by subtracting the sum of the known angles from \(180^\circ\).
Set up the equation: \(90^\circ + 60^\circ + \text{other acute angle} = 180^\circ\).
Solve for the other acute angle: \(\text{other acute angle} = 180^\circ - 90^\circ - 60^\circ\).
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