28. The hypotenuse of the right triangle ATVU shown below is 6 feet long. The sine of 2T is 1/3. How many feet long is TU ?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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29. Given the leg 6 cm of the right triangle AABC
| 28. The hypotenuse of the right triangle ATVU
shown below is 6 feet long. The sine of ZT is 1/3. shown below. The sin of < C is 1/3. How many
How many feet long is TU ?
cm is BC?
6 cm
B
#30-31 Sketch a drawing of each situation. Then solve the problem for the missing information. Round
your answers to the nearest hundredth.
30. You are standing 40 feet away from a building. The angle of elevation from the ground to the top of
the building is 57 degrees. What is the height of the building?
31. If If sin8=3/5 and tan@=3/4, then cos®=?
Transcribed Image Text:29. Given the leg 6 cm of the right triangle AABC | 28. The hypotenuse of the right triangle ATVU shown below is 6 feet long. The sine of ZT is 1/3. shown below. The sin of < C is 1/3. How many How many feet long is TU ? cm is BC? 6 cm B #30-31 Sketch a drawing of each situation. Then solve the problem for the missing information. Round your answers to the nearest hundredth. 30. You are standing 40 feet away from a building. The angle of elevation from the ground to the top of the building is 57 degrees. What is the height of the building? 31. If If sin8=3/5 and tan@=3/4, then cos®=?
27.
28.
A hot air balloon lifts 125 feet into the air.
The diagram below shows that the hot air
balloon was blown to the side. How long is
To determine the height of a tree, a botanist
makes the following diagram. What is the
height of the tree?
the piece of rope that connects the balloon
to the ground?
125 ft
20 ft
| 29. In the diagram shown, a 15foot slide is
attached to a swing set. The slide makes a 65
degree angle with the swing set. Which answer
most closely represents the height of the slide?
30.
A pole has a rope tied to its top and to a
stake 15 feet from the base. What is the
length of the rope?
10 ft
65
15 ft
Transcribed Image Text:27. 28. A hot air balloon lifts 125 feet into the air. The diagram below shows that the hot air balloon was blown to the side. How long is To determine the height of a tree, a botanist makes the following diagram. What is the height of the tree? the piece of rope that connects the balloon to the ground? 125 ft 20 ft | 29. In the diagram shown, a 15foot slide is attached to a swing set. The slide makes a 65 degree angle with the swing set. Which answer most closely represents the height of the slide? 30. A pole has a rope tied to its top and to a stake 15 feet from the base. What is the length of the rope? 10 ft 65 15 ft
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