# 9.10 trigonometric ratios

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B. A. C. 9.10 Trigonometric Ratios. A. B. C. 3. 4. 5. 5. 4. 3. 5. 5. 4. 3. 3. 4. B. A. C. Explore. 1.Find the sine, cosine, and tangent of

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• 9.10 Trigonometric RatiosABC

• Explore1.Find the sine, cosine, and tangent of
• Conclusion:The sine of an angle equals the cosine of the complementary angle, or the cosine of an angle equals the sine of the complementary angle.

Also, the tangents of complementary angles are reciprocals.

• Angle of ElevationAn angle of elevation is the angle formed from point P to point A. PA (line of sight) and PH (horizontal line) is called the angle of elevation.

• Angle of depressionIf you look down from point P towards point B, the angle that PB makes with PH is called the angle of depression.HPBA

• ATTENTION!An angle of elevation or depression is an angle between a LINE OF SIGHT and the HORIZONTAL.

DO NOT USE THE VERTICAL!!!!!

• For triangles other than the 30-60-90, and 45-45-90, use the table on page 424.360mHCSXWhat is the distance by land to the ship?28Draw parallel lines from the ground. Remember alt int