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30 m 390

30 m 390

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the depth of the river d, as shown in the picture below.

The image shows a diagram of a ship anchored in water. A rope or chain extends from the bow of the ship to the anchor on the seabed. The length of the rope is labeled as 30 meters. The angle between the rope and the seabed is marked as 39 degrees. The depth of the water, perpendicular from the bow of the ship to the seabed, is labeled as \( d \). In this diagram, the following components are illustrated: - **Ship**: Positioned on the surface of the water, with the anchor chain extending downward. - **Anchor**: Located on the seabed, connected to the ship by the chain. - **Rope/Chain**: Shown in red, with a length of 30 meters. - **Angle**: The angle between the rope and the seabed is indicated to be 39 degrees. - **Depth (\( d \))**: The vertical distance from the ship to the seabed, shown as a perpendicular line forming a right triangle with the rope and seabed. This setup can be used to demonstrate trigonometric relationships, specifically involving the cosine of the angle to determine the depth (\( d \)) using the relation: \( d = 30 \times \cos(39^\circ) \).
Transcribed Image Text:The image shows a diagram of a ship anchored in water. A rope or chain extends from the bow of the ship to the anchor on the seabed. The length of the rope is labeled as 30 meters. The angle between the rope and the seabed is marked as 39 degrees. The depth of the water, perpendicular from the bow of the ship to the seabed, is labeled as \( d \). In this diagram, the following components are illustrated: - **Ship**: Positioned on the surface of the water, with the anchor chain extending downward. - **Anchor**: Located on the seabed, connected to the ship by the chain. - **Rope/Chain**: Shown in red, with a length of 30 meters. - **Angle**: The angle between the rope and the seabed is indicated to be 39 degrees. - **Depth (\( d \))**: The vertical distance from the ship to the seabed, shown as a perpendicular line forming a right triangle with the rope and seabed. This setup can be used to demonstrate trigonometric relationships, specifically involving the cosine of the angle to determine the depth (\( d \)) using the relation: \( d = 30 \times \cos(39^\circ) \).
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