Given a right triangle with one leg measuring units and the hypotenuse measuring units, which of the following is the length of the unknown side rounded to the nearest whole number?
Table of contents
- 0. Review of College Algebra4h 43m
- 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
Solving Right Triangles
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
If a right triangle has one angle measuring , what is the measure of the other non-right 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$.
In a right triangle, one angle is always \$90^\circ$ by definition.
Given one of the other angles is \$30^\circ\(, set up the equation for the sum of angles: \)90^\circ + 30^\circ + \text{other angle} = 180^\circ$.
Solve for the other angle by subtracting the sum of the known angles from \$180^\circ\(: \)\text{other angle} = 180^\circ - 90^\circ - 30^\circ$.
Calculate the value of the other angle to find its measure.
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