1. 8 – 5 The Tangent Ratio

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

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

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

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

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

7. Tangent Ratio y
Find tan X and tan Y
Tan X = =
Tan y = = 13 12 z x 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 56 32

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 56 32

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 y 56 32

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
(tan 56) * 32 = Y y 56 32

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

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
(tan 56) * 32 = Y
(1.4826) * 32 = Y
Y = or 47.4 y 56 32

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%.
Rise x
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 =
Rise x
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 =
To solve this using our calculator we use
Rise x
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) = x
To solve this using our calculator we use
Rise x
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) = x
To solve this using our calculator we use
= x
Rise x
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) = x
To solve this using our calculator we use
= x
2 = x
Rise x
Run o