91Ó°ÊÓ

A standard 1/4-mi irrigation system has a radius of \(400 \mathrm{~m}\) and rotates once every 3 days. Find the linear velocity of the outside set of wheels to the nearest tenth of a meter per hour.

Find the exact length of the legs of a 45-45-90 triangle whose hypotenuse measures 10 in.

Compact disk circumference: A standard compact disk has a radius of \(6 \mathrm{~cm}\). Call this length " 1 unit." Mark a starting point on any large surface, then carefully roll the compact disk along this line without slippage, through one full revolution ( \(2 \pi\) rad \()\) and mark this spot. Take an accurate measurement of the resulting line segment. Is the result close to \(2 \pi\) "units" \((2 \pi \times 6 \mathrm{~cm})\) ?

Find the exact value of \(\sin 210^{\circ}, \cos 210^{\circ}\), and \(\tan 210^{\circ}\) using reference angles.

For \(\theta=\frac{11 \pi}{6}\), use a reference angle \(\theta_{r}\) to evaluate the six trig functions of \(\theta\).