91Ó°ÊÓ

With the given sets of components, find \(R\) and \(\theta\). $$R_{x}=7.627, R_{y}=-6.353$$

Solve the triangles with the given parts. $$b=283.2, B=13.79^{\circ}, C=103.62^{\circ}$$

Solve the given problems. To move forward, a helicopter pilot tilts the helicopter forward. If the rotor generates a force of 3200 lb, with a horizontal component (thrust) of 420 lb, what is the vertical component (lift)?

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. $$8.17 \mathrm{ft} / \mathrm{s}^{2}, \theta=270.0^{\circ}$$

Solve the given problems. The acceleration (a vector quantity) of gravity on a sky diver is \(9.8 \mathrm{m} / \mathrm{s}^{2} .\) If the force of the wind also causes an acceleration of \(1.2 \mathrm{m} / \mathrm{s}^{2}\) at an angle of \(15^{\circ}\) above the horizontal, what is the resultant acceleration of the sky diver?

Solve the triangles with the given parts. $$b=103.7, c=159.1, C=104.67^{\circ}$$

Solve the triangles with the given parts. $$a=5.240, b=4.446, B=48.13^{\circ}$$

Draw the given vectors and find their sum graphically. The magnitude is shown first, followed by the direction as an angle in standand position. $$3.6 \mathrm{cm}, 0^{\circ} ; 4.3 \mathrm{cm}, 90^{\circ}$$

Add the given vectors by components. $$\begin{aligned} &A=18.0, \theta_{A}=0.0^{\circ}\\\ &B=12.0, \theta_{B}=27.0^{\circ} \end{aligned}$$

Draw the given vectors and find their sum graphically. The magnitude is shown first, followed by the direction as an angle in standand position. $$2.3 \mathrm{cm}, 45^{\circ} ; 5.2 \mathrm{cm}, 120^{\circ}$$