Trigonometry and 6. a. 23 B.
The Primary Trig Ratios – Practice with SOH CAH TOA
1. In each triangle, name the side:
2. Calculate the Sin A and Sin B in each triangle.
3. Calculate. a. Sin 42 b. Cos 68 c. Tan 12 4. Calculate the value of x. a. b.
5. Calculate. a. Sin0.612 b. Cos 0.825 c. Cos d. Tan 6. Calculate E to the nearest degree. a. Sin E = 0.387 b. Sin E = 0. 900 c. Cos E = d. Tan E = 7. Calculate E.
8. A guy wire is 13.5 m long. It supports a vertical power pole. The wire is fastened to the ground 9.5 m from the base of an 8.7 m tall pole. Calculate the measure of the guy wire and the ground.
9. A 5.0 m ladder is leaning 3.7 m up a wall. What is the angle the ladder makes with the ground? 10. A kite has a string 100 m long anchored to the ground. The string makes and angle with the ground of 68. What is the horizontal distance of the kite from the anchor?
11. A ladder is leaned 10 m up a wall with its base 6 m from the wall. What angle does the ladder make with the ground?
12. An archer shoots and gets a bulls-eye on the target. From the archer’s eye level the angle of depression to the bulls-eye is 5°. The arrow is in the target 50 cm below the archer’s eye level. Calculate the distance the arrow flew to hit the target (the dotted line).
5°
C
B
50 cm
A
5°
C
B
50 cm
A
13. Two islands A and B are 3 km apart. A third island C is located due south of A and due west of B. From island B the angle between islands A and C is 33°. Calculate how far island C is from island A and from island B.
14. The foot (bottom) of a ladder is placed 1.5 m from a wall. The ladder makes a 70° angle with the level
1. In each triangle, name the side:
2. Calculate the Sin A and Sin B in each triangle.
3. Calculate. a. Sin 42 b. Cos 68 c. Tan 12 4. Calculate the value of x. a. b.
5. Calculate. a. Sin0.612 b. Cos 0.825 c. Cos d. Tan 6. Calculate E to the nearest degree. a. Sin E = 0.387 b. Sin E = 0. 900 c. Cos E = d. Tan E = 7. Calculate E.
8. A guy wire is 13.5 m long. It supports a vertical power pole. The wire is fastened to the ground 9.5 m from the base of an 8.7 m tall pole. Calculate the measure of the guy wire and the ground.
9. A 5.0 m ladder is leaning 3.7 m up a wall. What is the angle the ladder makes with the ground? 10. A kite has a string 100 m long anchored to the ground. The string makes and angle with the ground of 68. What is the horizontal distance of the kite from the anchor?
11. A ladder is leaned 10 m up a wall with its base 6 m from the wall. What angle does the ladder make with the ground?
12. An archer shoots and gets a bulls-eye on the target. From the archer’s eye level the angle of depression to the bulls-eye is 5°. The arrow is in the target 50 cm below the archer’s eye level. Calculate the distance the arrow flew to hit the target (the dotted line).
5°
C
B
50 cm
A
5°
C
B
50 cm
A
13. Two islands A and B are 3 km apart. A third island C is located due south of A and due west of B. From island B the angle between islands A and C is 33°. Calculate how far island C is from island A and from island B.
14. The foot (bottom) of a ladder is placed 1.5 m from a wall. The ladder makes a 70° angle with the level