a Shepherd wants to wall off his four-sided plot of flat land as shown in the fi

Question

a Shepherd wants to wall off his four-sided plot of flat land as shown in the figure he measures the first three sides labeled as a A,B,C where a equals 4.71 km equals 2.57 km and C equals 3.04 km and then correctly calculate the length and orientation of the fourth side d

what is the length of the vector D in kilometers?

what is the orientation of the vector D in degrees west of South?

The Epert tA C&Secure; https/husp32nj theexpertta.com/Common/Take Tut Homework (Ch2: Vecters) Begin Date: 992/2017 12.0000 AM--Due Date: 9 0 PM End Dat (7%) Problem 12. A sheperd wants to wall ofThis our·saled Flot of fla 11nd, as shown in the figure. He meapures the first three sides, labeled as A. B, and C, where 4.71 kra, B = 2.57 km, and C-3.0km, and then correctly caleulates the length and orientation of the fourth sade D 7.5 Assigament Status Click here for detailed view Ctheexperta.com 50% Part (a) What is the length ofthe vector D in kilometers? Problem Status 1 Completed D- 3 Completed 4 Completed cotan asi acos) atan) acotan)sinh cosh tanh coho *Degrees Radas detailed va Coempleted Completed 7 Completed 5 Partial 9 Partial 10 Hinr Hiner: %, deduction per hnt Hum rettanisf 12 13 Partial 4 Completed 50% Part

Explanation / Answer

A+B + C+ D = 0

D= -A-B-C

The x component of vector D is

Dx = - Ax-Bx- Cx

= - 4.71 cos 7.5- (-2.57sin16)-( -3.04cos 19)

=-1.09 km

The y component of vector D is

Dy =- Ay- By- Cy

= - ( - 4.71 sin7.5- (2.57sin16)-( 3.04cos 19)

=-2.96 km

magnitude D = sqrt Dx^2 + Dy^2

= sqrt ( -1.09 km)^2 + (-2.96 km)^2

=3.161 km

theta = tan^-1 ( -1.09 km/-2.96 km)

=20.21 degree west of south

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.