A child pulls a wagon with a force of 32 pounds. The handle of the wagon makes an angle of 60° with the ground. Express the force vector \( F \) in terms of \( i \) and \( j \).\[ F = \left( \Box \right) i + \left( \Box \right) j \](Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find \( zw \) and \(\frac{z}{w}\). Leave your answers in polar form.\( z = 5( \cos 85^\circ + i \sin 85^\circ) \)\( w = 8( \cos 70^\circ + i \sin 70^\circ) \)What is the product?\( zw = \underline{\hspace{1cm}} \left[ \cos \underline{\hspace{1cm}} + i \sin \underline{\hspace{1cm}} \right] \)(Simplify your answers. Type any angle measures in degrees. Use angle measures greater than or equal to 0 and less than 360.)

Here we solve the given problem.

A child pulls a wagon with a force of 32 pounds. The handle of the wagon makes an angle of 60° with the ground. Express the force vector F in terms of i and j. ..... F = (Di+ (Di (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

A child pulls a wagon with a force of 32 pounds. The handle of the wagon makes an angle of 60° with the ground. Express the force vector F in terms of i and j. ..... F = (Di+ (Di (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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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Question

A child pulls a wagon with a force of 32 pounds. The handle of the wagon makes an angle of 60° with the ground. Express the force vector \( F \) in terms of \( i \) and \( j \).

\[ F = \left( \Box \right) i + \left( \Box \right) j \]

(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Find \( zw \) and \(\frac{z}{w}\). Leave your answers in polar form.

\( z = 5( \cos 85^\circ + i \sin 85^\circ) \)

\( w = 8( \cos 70^\circ + i \sin 70^\circ) \)

What is the product?

\( zw = \underline{\hspace{1cm}} \left[ \cos \underline{\hspace{1cm}} + i \sin \underline{\hspace{1cm}} \right] \)

(Simplify your answers. Type any angle measures in degrees. Use angle measures greater than or equal to 0 and less than 360.)

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