8-5 The Tangent Ratio.  Greek for “Triangle Measurement”  You will need to use a scientific calculator to solve some of the problems. (You can find.

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Presentation transcript:

8-5 The Tangent Ratio

 Greek for “Triangle Measurement”  You will need to use a scientific calculator to solve some of the problems. (You can find one online if you don’t have one.)  Your calculator needs to be in “degree” mode when we do trigonometry.

 Right triangle trigonometry  Three ratios:  Tangent of an angle (tanA)  Sine of an angle (sinA)  Cosine of an angle (cosA)  Tangent of  A (one of the acute angles) A B C opposite leg adjacent leg

leg opposite  A tangent of  A = leg adjacent to  A A B C adjacent leg opposite leg

1. Find tan X 2. Find tan Y 1. Find tan 30 ° 2. Find tan 60 ° Y 30 ° 6 X Z

1. Find tan X 2. Find tan Y 1. Find tan 30 ° 2. Find tan 60 ° Y 30 ° 6 X Z

 Find the value of y to the nearest tenth. 56  32 y

The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that the road makes with the horizontal if its grade is 4%. rise run xx grade = rise run tan x  =