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8 – 5 The Tangent Ratio

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**Tangent Ratio Tangent of < A = Abbreviated as tan A = Opposite leg**

Adjacent Leg

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Tangent Ratio y Find tan X and tan Y 13 12 z x 5

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Tangent Ratio y Find tan X and tan Y Tan X = 13 12 z x 5

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Tangent Ratio y Find tan X and tan Y Tan X = = 13 12 z x 5

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Tangent Ratio y Find tan X and tan Y Tan X = = Tan y = 13 12 z x 5

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Tangent Ratio y Find tan X and tan Y Tan X = = Tan y = = 13 12 z x 5

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. y 56 32

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. Tan 56 = y 56 32

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. (Tan 56)* = * 32 y 56 32

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. (Tan 56)* = * 32 (tan 56) * 32 = Y y 56 32

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. (Tan 56)* = * 32 (tan 56) * 32 = Y (1.4826) * 32 = Y y 56 32

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Tangent Ratio The value of the tangent of an angle depends only on the size of the angle not on the size of the right triangle. The values of the tangent are rounded to four decimal places. Find the value of Y to the nearest tenth. (Tan 56)* = * 32 (tan 56) * 32 = Y (1.4826) * 32 = Y Y = or 47.4 y 56 32

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Tangent Ratio 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%.

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Tangent Ratio 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 x Run

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Tangent Ratio 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%. Tan x = Rise x Run

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Tangent Ratio 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%. Tan x = To solve this using our calculator we use Rise x Run

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Tangent Ratio 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%. Tan x = (0.0400) = x To solve this using our calculator we use Rise x Run

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Tangent Ratio 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%. Tan x = (0.0400) = x To solve this using our calculator we use = x Rise x Run

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Tangent Ratio 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%. Tan x = (0.0400) = x To solve this using our calculator we use = x 2 = x Rise x Run o

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Chapter 7.5 Notes: Apply the Tangent Ratio Goal: To use the tangent ratio to determine side lengths in triangles.

Chapter 7.5 Notes: Apply the Tangent Ratio Goal: To use the tangent ratio to determine side lengths in triangles.

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