10. Two observers are 400 feet apart on opposite sides of a tree. The angles of elevation from the observers to the top of the tree are 15° and 20°. Find the height of the tree.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.5: The Law Of Sines
Problem 35E: The Learning Tower of Pisa The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the...
icon
Related questions
Topic Video
Question
Can you solve number 10 please?
eKami Schoolo
Law of sines:cosines review.pdf
1009
10. Two observers are 400 feet apart on opposite sides of a tree. The angles of elevation from
the observers to the top of the tree are 15° and 20°. Find the height of the tree.
11. A road slopes 12° above the horizontal, and a vertical telephone pole stands beside the road. The
angle of elevation of the sun is 55°, and the pole casts a 13 foot shadow downhill along the road. Find
the height of the telephone pole.
12. Forest Ranger Mike Miller at ranger station A sights a fire in the direction 28° east of north. Ranger
Bobby Baron at ranger station B, 15 miles due east of A, sights the same fire on a line 35° west of north.
Find the distance from each ranger station to the fire.
13. Find the area of a regular dodecagon inscribed in a circle of radius 7 inches.
14. A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 215 feet and
250feet. The acute angle between two adjacent sides is 55°. What is the area of the parking lot?
15. A hot-air balloon is seen over Tucson, Arizona, simultaneously by two observers, at points A and B
that are 1.75 miles apart on level ground and in line with the balloon. The angle of elevation for point A is
33° and point B is 37°. How far is each observer from the balloon.
Transcribed Image Text:eKami Schoolo Law of sines:cosines review.pdf 1009 10. Two observers are 400 feet apart on opposite sides of a tree. The angles of elevation from the observers to the top of the tree are 15° and 20°. Find the height of the tree. 11. A road slopes 12° above the horizontal, and a vertical telephone pole stands beside the road. The angle of elevation of the sun is 55°, and the pole casts a 13 foot shadow downhill along the road. Find the height of the telephone pole. 12. Forest Ranger Mike Miller at ranger station A sights a fire in the direction 28° east of north. Ranger Bobby Baron at ranger station B, 15 miles due east of A, sights the same fire on a line 35° west of north. Find the distance from each ranger station to the fire. 13. Find the area of a regular dodecagon inscribed in a circle of radius 7 inches. 14. A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 215 feet and 250feet. The acute angle between two adjacent sides is 55°. What is the area of the parking lot? 15. A hot-air balloon is seen over Tucson, Arizona, simultaneously by two observers, at points A and B that are 1.75 miles apart on level ground and in line with the balloon. The angle of elevation for point A is 33° and point B is 37°. How far is each observer from the balloon.
Expert Solution
Step 1

Let the height of the tree=h feet

Let the distance of one observer from the tree=x feet

According to question,

  Then, the distance of another observer from the tree=(400-x) feet

      Calculus homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL