Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Concept explainers

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 golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of the green. While standing on the marker and facing the​ green, the golfer turns 105° towards his ball. He then paces off 40 yards to his ball. How far is the ball from the center of the​ green?

The image depicts a geometric diagram often used in problems involving angles and distances, such as those encountered in golf. ### Description: - **Marker:** A point on the diagram labeled as "marker." - **Ball:** Another point labeled as "ball." - **Hole:** Represented by a flag on a green, labeled as a point of reference. ### Distances: - The distance from the marker to the hole is labeled as **150 yards**. - The distance from the marker to the ball is labeled as **40 yards**. ### Angle: - The angle between the line from the marker to the ball and the line from the marker to the hole is labeled as **105 degrees**. ### Structure: The diagram shows two lines: - A solid line connecting the marker to the hole. - A solid line connecting the marker to the ball. - A dashed line depicting the imaginary extension from the ball to the hole, forming a triangle. This illustration can be used to teach concepts such as angle measurement, the properties of triangles, and distance calculation in a practical context.
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Transcribed Image Text:The image depicts a geometric diagram often used in problems involving angles and distances, such as those encountered in golf. ### Description: - **Marker:** A point on the diagram labeled as "marker." - **Ball:** Another point labeled as "ball." - **Hole:** Represented by a flag on a green, labeled as a point of reference. ### Distances: - The distance from the marker to the hole is labeled as **150 yards**. - The distance from the marker to the ball is labeled as **40 yards**. ### Angle: - The angle between the line from the marker to the ball and the line from the marker to the hole is labeled as **105 degrees**. ### Structure: The diagram shows two lines: - A solid line connecting the marker to the hole. - A solid line connecting the marker to the ball. - A dashed line depicting the imaginary extension from the ball to the hole, forming a triangle. This illustration can be used to teach concepts such as angle measurement, the properties of triangles, and distance calculation in a practical context.
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