A civil engineer desires to measure the height of a tower observing a vertical angle at A. He then moves 54 meters further towards the tower at B and observes another vertical angle which is twice that of the first. He again proceed to move further towards the tower, still on the same line at distance of 21 meters. The observed vertical angle of the tower at this point is three times that the first. Determine the height of the tower.

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°.
icon
Related questions
Question

Solve and Illustrate using SINE LAW

SINE LAW *
A civil engineer desires to measure the height of a tower
observing a vertical angle at A. He then moves 54 meters
further towards the tower at B and observes another
vertical angle which is twice that of the first. He again
proceed to move further towards the tower, still on the
same line at distance of 21 meters. The observed vertical
angle of the tower at this point is three times that the
first. Determine the height of the tower.
Transcribed Image Text:SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at A. He then moves 54 meters further towards the tower at B and observes another vertical angle which is twice that of the first. He again proceed to move further towards the tower, still on the same line at distance of 21 meters. The observed vertical angle of the tower at this point is three times that the first. Determine the height of the tower.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Law of Cosines
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning