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?

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°.
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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.
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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