A gardener uses a grow light to grow vegetables indoors. If and , what is the value of if the two angles are complementary?
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 triangle CBD, angle CBD has a measure of . If triangle CBD is a right triangle and angle ABD is the other non-right angle, what is the measure of angle ABD?
A
B
C
D
It is not possible for a right triangle to have an angle measuring
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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 of the angles is exactly \(90^\circ\).
Given that angle \(CBD\) measures \(140^\circ\), check if this is possible in a right triangle by adding it to the right angle: \(140^\circ + 90^\circ = 230^\circ\).
Since \(230^\circ\) already exceeds the total \(180^\circ\) allowed for a triangle, this means having a \(140^\circ\) angle in a right triangle is impossible.
Therefore, it is not possible for triangle \(CBD\) to be a right triangle if angle \(CBD\) measures \(140^\circ\).
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