Given a right triangle with sides , , and hypotenuse , and angle opposite side , which equation can be used to find the measure of angle ?
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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
In right triangle , angle measures . What is the measure of angle if is a point on such that is perpendicular to ?
A
B
C
D
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Verified step by step guidance1
Identify the given information: triangle ABC is a right triangle, and angle BAC measures 56°.
Recall that the sum of angles in any triangle is 180°. Since ABC is a right triangle, one angle is 90°, and angle BAC is 56°, so find angle ABC by subtracting these from 180° using the formula: \(180^\circ - 90^\circ - 56^\circ\).
Point D lies on segment AC such that BD is perpendicular to AC. This means triangle BDC is a right triangle with right angle at D.
Since BD is perpendicular to AC, angle BDC is 90°. To find angle BDC, consider triangle BDC and use the fact that the angles in triangle BDC sum to 180°.
Use the known angles and relationships to express angle BDC in terms of the given angles, and solve for the measure of angle BDC.
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