31. The vertex angle of an isosceles triangle 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 no the given angle 733. Find the angle of elevation of the sun when a tower 100 m high casts a shadow of 120 m long
31. The vertex angle of an isosceles triangle 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 no the given angle 733. Find the angle of elevation of the sun when a tower 100 m high casts a shadow of 120 m long
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
31 32 33
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec38d1d7-6efe-451c-a5a0-ba7bbfd3a7b6%2F5e25fac3-f50c-4f64-8248-c6dced8765c3%2Fw6769zk_processed.jpeg&w=3840&q=75)
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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