A kite-shaped quadrilateral has sides of lengths cm and cm, and the shorter diagonal is cm. What is the length of the kite's longer diagonal?
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
Multiple Choice
A right triangle has one angle that 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 \(180^\circ\).
Since the triangle is a right triangle, one of its angles measures \(90^\circ\).
Let the given acute angle be \(20^\circ\) and the other acute angle be \(x\) degrees.
Set up the equation for the sum of angles: \(90^\circ + 20^\circ + x = 180^\circ\).
Solve for \(x\) by subtracting \(90^\circ\) and \(20^\circ\) from \(180^\circ\): \(x = 180^\circ - 90^\circ - 20^\circ\).
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