Addition to Unit 7 Review – Trig
Fill in the blank for the following definitions.
1. The tangent of an acute angle of a right triangle is the ratio of the length of the ______leg to length of the ______leg.
2. The sine of an acute angle of a right triangle is the ratio of the length of the ______leg to length of the ______.
3. The cosine of an acute angle of a right triangle is the ratio of the length of the ______leg to length of the ______.
Use your calculator to find each of the following to three decimal places.
4. What is cos 5°? 5. What is sin 44°
6. What is cos 75°? 7. What is tan 15°?
8. What is sin 60°?
Given the following ratios, use your calculator to find the measure of each angle to three decimal places.
9. What is A if, cos A = 0.977? 10. What is A if, sin A = 0.0123?
11. What is B if, tan B = 0.25? 12. What is C if, tan C = 7.8716?
13. What is D if, sin D = 0.70711?
14. Solve for y.
15. Use the figure below and trig ratios to find the measures of angle N and angle L.
16. A wheelchair ramp is 3 meters long and forms an angle of six degrees with the horizontal. Find the height of the ramp to the nearest tenth centimeter.
17. Determine the angle of elevation at which a plane needs to take off if it must clear a 60-foot pole at the end of a runway 500 yards long.
18. The back of a moving truck is 4 feet above the ground. A loading ramp is attached to the rear of the truck so that the ramp declines at an angle of 20 degrees. Find the length of the ramp to the nearest tenth of a foot.