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8 – 5 The Tangent Ratio. Tangent Ratio Tangent of < A = Abbreviated as tan A = Opposite leg Adjacent Leg.

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Presentation on theme: "8 – 5 The Tangent Ratio. Tangent Ratio Tangent of < A = Abbreviated as tan A = Opposite leg Adjacent Leg."— Presentation transcript:

1 8 – 5 The Tangent Ratio

2 Tangent Ratio Tangent of < A = Abbreviated as tan A = Opposite leg Adjacent Leg

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

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

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

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

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

8 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 32 56

9 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 32 56

10 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 = * 32 y 32 56

11 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 = * 32 (tan 56) * 32 = Y y 32 56

12 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 = * 32 (tan 56) * 32 = Y (1.4826) * 32 = Y y 32 56

13 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 = * 32 (tan 56) * 32 = Y (1.4826) * 32 = Y Y = 47. 4432 or 47.4 y 32 56

14 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%.

15 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%. x Rise Run

16 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 Rise Run

17 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 To solve this using our calculator we use x Rise Run

18 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 (0.0400) = x To solve this using our calculator we use x Rise Run

19 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 (0.0400) = x To solve this using our calculator we use 2.2906 = x x Rise Run

20 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 (0.0400) = x To solve this using our calculator we use 2.2906 = x 2 = x x Rise Run o


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