91Ó°ÊÓ

Solve the triangles with the given parts. $$b=2880, c=3650, B=31.4^{\circ}$$

In Exercises \(15-30,\) add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{aligned} &A=9.821, \theta_{A}=34.27^{\circ}\\\ &B=17.45, \theta_{B}=752.50^{\circ} \end{aligned}$$

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. $$0.8734 \mathrm{ft}, \theta=157.83^{\circ}$$

Add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{aligned} &A=9.821, \theta_{A}=34.27^{\circ}\\\ &B=17.45, \theta_{B}=752.50^{\circ} \end{aligned}$$

In Exercises \(15-30,\) add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{aligned} &E=1653, \theta_{E}=36.37^{\circ}\\\ &F=9807, \theta_{F}=253.06^{\circ} \end{aligned}$$

Solve the triangles with the given parts. $$a=1.78, b=6.04, c=4.80$$

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. \(509.4 \mathrm{m}, \theta=360.0^{\circ}\)

Solve the triangles with the given parts. $$a=0.841, b=0.965, A=57.1^{\circ}$$

Add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{array}{l} E=1653, \theta_{E}=36.37^{\circ} \\ F=9807, \theta_{F}=253.06^{\circ} \end{array}$$

Solve the given problems. A ship's navigator determines that the ship is moving through the water at \(17.5 \mathrm{mi} / \mathrm{h}\) with a heading of \(26.3^{\circ}\) north of east, but that the ship is actually moving at \(19.3 \mathrm{mi} / \mathrm{h}\) in a direction of \(33.7^{\circ}\) north of east. What is the velocity of the current?