Homework Help: Trigonometry

Posted by Cyndy on Wednesday, August 1, 2012 at 2:32pm.

A 175-pound force and a 230-pound force are acting on the same point in directions that differ by 42°.
What is the angle that the resultant makes with
the 175-pound force?

A. 22°
B. 24°
C. 32°
D. 18°

Trigonometry - Steve, Wednesday, August 1, 2012 at 3:12pm
let the 175-lb force point in the x direction. Then the 230-lb force acts at an angle θ = 42°.

The two forces form adjacent sides of a parallelogram, with diagonal reaching to

(175+230cos42°,230sin42°) = (346,154)
The angle φ of the diagonal is found using

tan φ = 154/346, so
φ = 24°

Answer this Question

Related Questions

physics - A 34-pound crate is pushed across the floor by a 30-pound horizontal ...
Heat transfer: conversion - is it possible to convert British thermal unit/ ...
physics - A 26 N force and a 42 N force act concurrently at point P. The larger ...
6th Grade Math - A farmer grows 196 pounds of potatoes.He sells them to a ...
calculus - Could someone help me draw these vectors? These things confuse me. A ...
Physics - If we take a point of reference that is a certain distance away from ...
science - What is the net force of a 2.0N force and a 3.0N force acting on an ...
science - What is the net force of a 2.0N force and a 3.0N force acting on an ...
Moment/Physics - I understand a moment is a weight being moved by a particular ...
Science - I don't understand Newton's second law: Net Force = Mass x ...

For Further Reading

First Name:
School Subject:
Answer: