Math Problem Statement

a golfer needs 3 puts to hole the ball during the first put the ball rolls 2.7 m due east, the second put, the ball travels 1.2 m at an angle of 28 degrees north of east, the thrid put is .44 m due north what displacement, magnitude and direction ( relative due east) would the ball have to travel in order to be a whole in one draw a picture of a graph as well

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry
Displacement

Formulas

Vector components: Vx = V * cos(θ), Vy = V * sin(θ)
Pythagorean theorem: magnitude = √(x² + y²)
Direction (angle relative to east): θ = arctan(Vy / Vx)

Theorems

Pythagorean Theorem
Trigonometric Ratios

Suitable Grade Level

Grades 10-12