Find the angle of elevation to the top of the 1250 -ft Empire State Building from a point 850ft from the base.

Find angles to the nearest tenth of a degree. A kite at the end of 545 ft of string is 130 ft above the ground. What angle does the kite string make with the ground?

Find angles to the nearest tenth of a degree. From a boat at sea, the distance to the top of a 2325 -ft cliff at the water's edge is 4370 ft. What angle does a line make with the horizontal from the boat to the top of the cliff?

Solve for values of x with $0^{\circ} \leq x \leq 360^{\circ}$. $\sin x=1$

Find each ratio by drawing a reference angle. $\sin 1200^{\circ}$

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\cos D$$

Find each ratio by drawing a reference angle. $\tan 300^{\circ}$

If $-5 x+y=12$ and 5x+8y=6, what is the value of 9y?

Round answers to the nearest hundredth if necessary. If y varies inversely as x, and y=18 when x=3, find y when x=38.

Find each ratio by drawing a reference angle. $\sin 480^{\circ}$

Rationalize.Write in simplest radical form. $\sqrt{\frac{32}{10}}$

Find each ratio by drawing a reference angle. $\cos \left(-45^{\circ}\right)$

Find the following ratio by drawing a reference angle.

$\sin 315^{\circ}$

Rationalize.Write in simplest radical form. $\frac{\sqrt{8}}{\sqrt{3}}$