Geometry Chapter 13 Lesson Master Bs

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Name LESSON MASTER 13-7B page 2Properties Objective G: Know the definitions of sine and cosine.19. Define sin A.In 20–23, use RST at the right.20. Write a ratio for each function.a. sin R b. cos RST21.RSRTis the sine of which angle?22.TSRTis the cosine of which angle?23. How is sin R affected if m∠R increases?RUses Objective I: Use sines and cosines to determine unknown lengths inreal situations.24. From a point at the foot of a hill, the angle of elevationof the top is 15°. The distance from the foot of the hillto the top is 150 meters. Find the height of the hill.25. A 30-foot ladder leans against a building making an angleof 72° with the ground.a. How high on the building does the ladder reach?b. How far from the building is the end of the ladder?26. The tailgate of a tractor-trailer rig is 1 m off the ground.The greatest incline for efficiently loading the truck is 10°.How long should the ramp be for a 10° incline?27. A plane takes off at an angle of 24° with the ground.a. How far has it traveled in a horizontal distanceafter it has traveled 3 miles?b. How high, in feet, is the plane after it has traveled3 miles?UCSMP Geometry © Scott, Foresman and Company28. A biker pedaled up a slope of 6° for 150 meters andthen another 100 meters at a slope of 9°.210a. How far did the biker travel in a horizontal distance?b. How far did the biker climb vertically?
NameL E S S O NM A S T E R13-8BQuestions on SPUR ObjectivesSkills Objective D: Use the SAS area formula.In 1–4, find the area of the triangle.1. 4.52.75°31.32.295°55°3. 4.15.220° 40°1011 1288°5. Find the area of a regular pentagon with sides8 centimeters long.6. Find the area of a regular decagon with sides8 centimeters long.Uses Objective J: Determine components of vectors in real situations.UCSMP Geometry © Scott, Foresman and Company7. A hurricane is moving 30 mph ina direction 23 west of north. Findthe components of its velocity.8. An oil tanker traveled 32 knots(nautical miles) per hour on a course38 north of west. Find thecomponents of its velocity.9. The Fox River flows at a rate of5 kilometers per hour in a direction80 south of east. Find componentsof the river’s velocity.10. A helicopter pilot wants to reach a point 3 km southand 6 km east of the takeoff location.a. In which direction should the helicopter take off?b. How far will the helicopter travel?211
Page 1 and 2: NameL E S S O NM A S T E RVocabular
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Geometry Chapter 13 Lesson Master Bs

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