Name _______________________________________ Date ...



Name _________________________________________________ Date ______________ Period ____ Using Trig Ratios to Solve ProblemsPA Anchors: B2; C1Write the trig equation you will use to answer the question; solve. Round to the nearest tenth. Show all work! Circle your answers!5143500193675001. The stringer, that supports the stairs, makes an angle of 50 with the floor. It reaches 3.2 m up the wall. How far is the base of the stringer from the wall?3886200392430002. A ship is 130 m away from the center of a barrier that measures 180 m from end to end. What is the minimum angle that the boat must be turned to avoid hitting the barrier?4686300324485003. A ramp has an angle of inclination of 20. It has a vertical height of 1.8 m. What is the length, L meters, of the ramp?4. A damaged tree is supported by a guy wire 10.0 m long. The wire makes an angle of 61 with the ground. Calculate the height at which the guy wire is attached to the tree.480060067945004000500771525005. A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the distance between the helicopter and a car on the road is 45.0 m. Calculate the angle of elevation of the helicopter from the car.Draw a diagram for each problem. Write the trig equation you will use to answer the question; solve. Round to the nearest tenth. Show all work! Circle your answers!6. If your distance from the foot of the tower is 20 m and the angle of elevation is 40, find the height of the tower.7. A ladder leaning against the side of a house forms an angle of 65° with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder.8. To secure a 500-meter radio tower against high winds, guy wires are attached to a ring 5 meters from the top of the tower. The wires form a 15° angle with the tower. Find the distance from the tower to the guy wire anchor in the ground.9. At a certain time of day, the angle of elevation of the sun is 44°. Find the length of a shadow cast by a building 30 meters high.10. A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What angle does the ladder make with the ground? ................
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