Geometry Chapter 13 Lesson Master Bs

Name LESSON MASTER 13-8B page 211. A sailboat traveled 45 miles on a course 35 north of eastand then traveled 60 miles on a course 75 north of eastbefore the wind died down. Find the actual distance fromits starting point that the boat lost its wind power.Review Objectives D and I, Lesson 13-6 and 13-7In 12–14, use FGH at the right.12. Find each trigonometric ratio.Fa. tan F b. sin Hc. cos H d. sin F13. How are sin H and cos F related?14. How is cos F affected if m∠F increases?GH15. The string of a kite forms an angle of 68 with the ground.If 250 m of string have been let out, how high is the kite?16. A mine shaft forms a 15 angle with the ground and reachesa point 150 feet below the surface. How long is the shaft?17. If the sun’s rays make an angle of 70 with the ground, howlong is the shadow of a person who is 180 cm tall?18. From the top of a 100-foot lookout tower, a forest rangerspotted a fire at a 25 angle of depression. How far wasthe fire from the base of the lookout tower?19. The angle of elevation from an observer on the roof of theGrande Hotel to the roof of the Rio Stock Exchange is a10 angle. The buildings are 300 meters apart. How muchtaller is the Rio Stock Exchange than the Grande Hotel?20. A 90-foot escalator makes an angle of 18 with the lowerlevel of a parking garage. How high does the escalatorrise vertically?UCSMP Geometry © Scott, Foresman and Company21. A ladder mounted on a fire truck is 6 ft above the ground.If the maximum length of the ladder is 120 ft and themeasure of the largest safe angle the ladder can makewith the truck is 75, how high will the ladder reach?212