From a point on the floor the angle of elevation to the top of a door is 51°, while the angle of elevation to the ceiling above the door is 55°. If the ceiling is 7.8 feet above the floor, what is the vertical dimension of the door (see the figure below)? (Round your answer to one decimal place.)

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.CT: Chapter Test
Problem 10CT: The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder...
icon
Related questions
Question

From a point on the floor the angle of elevation to the top of a door is 51°, while the angle of elevation to the ceiling above the door is 55°. If the ceiling is 7.8 feet above the floor, what is the vertical dimension of the door (see the figure below)? (Round your answer to one decimal place.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Ratios
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
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,