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

- trig, math - A 175-pound force and a 230-pound force are acting on the same ...
- 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/ ...
- Halp me or i fall - Write the number that makes the statement true. 1. 205.5 m...
- science - a 100 pound life guard dives underwater to save a 150 pound person who...
- algebra - bill blends 5/4 pound of peanuts that sell for $2.50 per pound with 3/...
- 6th Grade Math - A farmer grows 196 pounds of potatoes.He sells them to a ...
- algebra - by 3 pounds of oranges apples for 7.50 the graph shows the price for ...
- Science - I don't understand Newton's second law: Net Force = Mass x ...
- Science - A force of 650N is acting upwards and a force of 850N is acting ...

More Related Questions