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31. The vertex angle of an isosceles riangle is 4020. Each of the legs measures 320 mm. Find the length of the base.

31. The vertex angle of an isosceles riangle is 4020. Each of the legs measures 320 mm. Find the length of the base.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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B Solve each problem. 31. The vertex angle of an isosceles riangle is 40°20. Each of the legs measures 320 mm. Find the length of the base. 32. What is the area of the right triangle with an acute angle of 70 and a leg of 12 cm adjacent to the given angle? /33. Find the angle of elevation of the sun when a tower 100 m high casts a shadow of 120 m long. 34. Aboat is 450 m away from a lighthouse. If the angle of depression of the boat from the top of the lighthouse is 15", find the height of the lighthouse. /35. A Baguio City road is inclined 20° to the horizontal. If a man jogs 500 m along this road, how high above is his starting point? 36. From the top of a 90-m high building, it is observed that the top of another building makes a 40 angle of depression. If the two buildings are 60 m apart. how tall is the other building? 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m from the wall. What angle does the ladder make with the wall? /38. From a plane 2000 m above sca level, the pilot observes two ships in line due west. The angles of depression of the two ships are 60" and 70". How far apart are the ships?
Transcribed Image Text:B Solve each problem. 31. The vertex angle of an isosceles riangle is 40°20. Each of the legs measures 320 mm. Find the length of the base. 32. What is the area of the right triangle with an acute angle of 70 and a leg of 12 cm adjacent to the given angle? /33. Find the angle of elevation of the sun when a tower 100 m high casts a shadow of 120 m long. 34. Aboat is 450 m away from a lighthouse. If the angle of depression of the boat from the top of the lighthouse is 15", find the height of the lighthouse. /35. A Baguio City road is inclined 20° to the horizontal. If a man jogs 500 m along this road, how high above is his starting point? 36. From the top of a 90-m high building, it is observed that the top of another building makes a 40 angle of depression. If the two buildings are 60 m apart. how tall is the other building? 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m from the wall. What angle does the ladder make with the wall? /38. From a plane 2000 m above sca level, the pilot observes two ships in line due west. The angles of depression of the two ships are 60" and 70". How far apart are the ships?
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