2. Answer: 13.1

3. 100 o 50 o 178 m X Solve for Side X in (meters): 228.83 meters

4. Answer: 65 mm 41 mm 75 o θ Solve for θ: 37.54 o

5. 352.8

6. Answer: 5.5” 80 o 30 o X Solve for Side X (in inches): 10.83 inches

7. Answer: A building has an unknown height. At a distance of 100 feet away from the building, an observer notices that the angle of elevation to the top of the building is 41º and that the angle of elevation to a poster on the side of the building is 21º. How far is the poster from the roof of the building? 48.54 ft

8. Answer: θ 8.5” 7.25” 65 o Solve for θ: 50.62 o

9. Given a triangle with angle A = 120°, side a = 22 cm and side b = 15 cm, find the other dimensions. A B a = 22 15 = b C c 120° B= 36.3 , C = 23.8  and c = 10.3

10. 23.2 ft

11. In the diagram, a = 55, c = 20, and m<A = 110º. Find the measure of <C to the nearest degree. Answer: 20 o

12. ExampleTwo stations are on an east-west line 110 miles apart. A forest fire is located on a bearing of N 42° E from the western station at A and a bearing of N 15° E from the eastern station at B. How far is the fire from the western station?

13. Given a triangle with angle A = 40°, side a = 12 cm and side b = 15 cm, find the other dimensions. B= 53.5  ; C= 86.5  and c = 18.6 B 2 = 126.5  C 2 = 13.5  c 2 = 4.4

14.  From a certain distance, the angle of elevation to the top of a building is 17 . At a point 50 meters closer to the building, the angle of elevation is 31 . Approximate the height of the building. 9.83 meters

15. You are given a triangle, ABC, with angle A = 70°, angle B = 80° and side a = 12 cm. Find the measures of angle C and sides b and c.

16. You are given a triangle, ABC, with angle C = 115°, angle B = 30° and side a = 30 cm. Find the measures of angle A and sides b and c. A = 35  b = 26.15 and c =47.40

17.  Angle A = 30  Side a = 6 and side b = 3  Find the area of the triangle 3

18.  Juan and Romella are standing at the seashore 10 miles apart. The coastline is a straight line between them. Both can see the same ship in the water. The angle between the coastline and the line between the ship and Juan is 35 degrees. The angle between the coastline and the line between the ship and Romella is 45 degrees. How far is the ship from Juan? 7.18 miles

19.  Two rangers, one at station A and one at station B, observe a fire in the forest. The fire is located on a bearing of N24.77E from station A and a bearing of N33.53W from station B. Stations A and B are 10 Km apart.   How far from station A is the fire?  How far from station B is the fire? 9.8 and 10.67

20.  Matt measures the angle of elevation of the peak of a mountain as 35º. Susie, who is 1200 feet closer on a straight level path, measures the angle of elevation as 42º. How high is the mountain? 3779.10 feet

21.  The course for a boat race starts at point A and proceeds in the direction S52  W to point B, then in the direction S40  E to point C, finally back to A. Point C lies 8 km directly south of point A. Find the total distance of the course. 19.46 km