91Ó°ÊÓ

Solve the triangles with the given parts. $$b=7751, c=3642, B=20.73^{\circ}$$

Solve the given problems. A rocket is launched with a vertical component of velocity of \(2840 \mathrm{km} / \mathrm{h}\) and a horizontal component of velocity of \(1520 \mathrm{km} / \mathrm{h}\) What is its resultant velocity?

With the given sets of components, find \(R\) and \(\theta\). $$R_{x}=-729, R_{y}=-209$$

Solve the triangles with the given parts. $$a=150.4, c=250.9, C=76.43^{\circ}$$

Solve the given problems. In testing the behavior of a tire on ice, a force of 520 lb is exerted to the side, and a force of 780 lb is exerted to the front. What is the resultant force on the tire?

Solve the triangles with the given parts. $$a=320, b=847, C=158.0^{\circ}$$

Solve the triangles with the given parts. $$a=63.8, B=58.4^{\circ}, C=22.2^{\circ}$$

With the given sets of components, find \(R\) and \(\theta\). $$R_{x}=-646, R_{y}=2030$$

Find the \(x\) - and \(y\) -components of the given vectors by use of the trigonometric functions. The magnitude is shown first, followed by the direction as an angle in standard position. $$15.8 \mathrm{lb}, \theta=76.0^{\circ}$$

Solve the given problems. To raise a crate, two ropes are attached to its top. If the force in one rope is 240 lb at \(25^{\circ}\) from the vertical, what must be the force in the second rope at \(35^{\circ}\) from the vertical in order to lift the crate straight upward?