A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 31° and that the angle of depression to the bottom of the tower is 25°. How tall is the tower?
A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 31° and that the angle of depression to the bottom of the tower is 25°. How tall is the tower?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![A radio tower is located 425 feet from a building. From a window in the building, a person determines that
the angle of elevation to the top of the tower is 31° and that the angle of depression to the bottom of the
tower is 25°. How tall is the tower?
Round answer to one decimal place.
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F978fe040-efd2-4928-b6f3-fb915f144735%2F7fa36909-fb46-48ad-99e0-f06463f2a65b%2Fdt1ofrs_processed.png&w=3840&q=75)
Transcribed Image Text:A radio tower is located 425 feet from a building. From a window in the building, a person determines that
the angle of elevation to the top of the tower is 31° and that the angle of depression to the bottom of the
tower is 25°. How tall is the tower?
Round answer to one decimal place.
feet
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