Below is given information for the vectors shown in the diagram: The direction of vector a is a = 60° with a magnitude of 24. %3D The direction of vector b is B = 35° with a magnitude of 30. %3D à Find the magnitude of vector v to one decimal place. 36.7 1-0

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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Below is given information for the vectors shown in the diagram:

The **direction** of vector **a** is \(\alpha = 60^\circ\) with a **magnitude** of 24.

The **direction** of vector **b** is \(\beta = 35^\circ\) with a **magnitude** of 30.

[Diagram Description]
- The diagram features vectors \(\vec{a}\), \(\vec{b}\), and \(\vec{v}\).
- Vector \(\vec{a}\) is represented as a blue line, originating from a common point and following an angle \(\alpha\) of \(60^\circ\).
- Vector \(\vec{b}\) is depicted as a red line, originating from the same point with an angle \(\beta\) of \(35^\circ\).
- The two vectors form an angle at their intersection point.
- Vector \(\vec{v}\) is shown as a black line, representing the resultant vector.

To solve:
Find the **magnitude** of vector \(\vec{v}\) to one decimal place.

Solution box: \(36.7\)
Transcribed Image Text:Below is given information for the vectors shown in the diagram: The **direction** of vector **a** is \(\alpha = 60^\circ\) with a **magnitude** of 24. The **direction** of vector **b** is \(\beta = 35^\circ\) with a **magnitude** of 30. [Diagram Description] - The diagram features vectors \(\vec{a}\), \(\vec{b}\), and \(\vec{v}\). - Vector \(\vec{a}\) is represented as a blue line, originating from a common point and following an angle \(\alpha\) of \(60^\circ\). - Vector \(\vec{b}\) is depicted as a red line, originating from the same point with an angle \(\beta\) of \(35^\circ\). - The two vectors form an angle at their intersection point. - Vector \(\vec{v}\) is shown as a black line, representing the resultant vector. To solve: Find the **magnitude** of vector \(\vec{v}\) to one decimal place. Solution box: \(36.7\)
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