Two ships are on an east-west line from each other. There is a lighthouse on the shore whose position as seen from one ship is N60.67°W and from the other ship N55.17°E. The first ship is 80 km from the lighthouse. To the nearest kilometer, how far apart are the ships?

State the nth term definition for the following sequence: 84, 42, 21, 10.5, . . .

Let sin x = A, cos x = B, sin y = C, and cos y = D: sin(x+y)+sin(x-y)=

Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.

Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.

Let sin x = A, cos x = B, sin y = C, and cos y = D: sin(x+y)+sin(x-y)=

In ΔABC{math:ΔABC}, a = 7, c = 10 and B = 70.17°, find b. (Round to the nearest tenth.)

Let sin x = A, cos x = B, sin y = C, and cos y = D: cos(x+y)=

If loga x=2, loga y=3,  and loga z=4, what is log⁡axz3y2z−23{math:log⁡axz3y2z−23}?

If (4, –3) is a point on the terminal side of an angle β, then sin⁡ β{math:sin⁡ β}=