# Trigonometry

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°

1. 👍 0
2. 👎 0
3. 👁 196
1. 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°

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

A 34-pound crate is pushed across the floor by a 30-pound horizontal force F1. Aside from the pushing force and gravity F2, there is also a 34-pound force F3 exerted upward on the crate and a 20-pound frictional force F4 What

asked by Mochool on November 16, 2011
2. ### Physics

A large crate filled with physics laboratory equipment must be moved up an incline onto a truck. 1. The crate is at rest on the incline. What can you say about the force of friction acting on the crate? a. The friction force point

asked by Nicole on September 22, 2008
3. ### algebra

The manager of a bulk foods establishment sells a trail mix for \$6 per pound and premium cashews for \$13 per pound. The manager wishes to make a 315-pound mixture that will sell for \$8 per pound. How many pounds of each should be

asked by sandra on March 21, 2014
4. ### math

Write the number that makes the statement true. 1. 205.5 m = _____ mm (1 point) 205,500 0.2055 20.55 20,550 2. 199.2 km = _____ m (1 point) 199,200 19.92 19,920 0.1992 Use benchmarks to estimate the sum. 3. + (1 point) 2 1 0

asked by help me on October 26, 2016
5. ### Pre-Calculus Help?

A 5-lb force acting in the direction of (5, -3) moves and object just left over 12 ft. from point (0, 6) to (7, -4). Find the work done to move the object to the nearest foot-pound. a. 11 ft. * lbs b. 34 ft. * lbs c. 56 ft. * lbs

1. ### Science

Which of the following is true regarding how to calculate net force?* A. If forces are acting in the same direction, you can find the net force on an object by subtracting together the strengths of all the individual forces B. If

asked by Goldfish on March 15, 2020
2. ### algebra

The vendor of a coffee cart mixes coffee beans that cost \$8 per pound with coffee beans that cost \$4 per pound. How many pounds of each sould be used to make a 60-pound blend that sells for \$5.25 per pound? \$8 coffee __________ \$4

asked by Marc on September 27, 2014
3. ### physics

Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of 46.0 N and is acting at an angle of (54) degrees above the positive x-axis. Force 2 has a magnitude of (42) N and is acting along the positive

asked by dalia on February 8, 2017
4. ### Math

The Coffee Counter charges ​\$11.00 per pound for Kenyan French Roast coffee and ​\$15.00 per pound for Sumatran coffee. How much of each type should be used to make aa 24 pound blend that sells for ​\$13.00 per​ pound?

asked by Erin on January 22, 2018