91Ó°ÊÓ

In \(15-22\) , for each given angle in standard position, determine to the nearest tenth the coordinates of the point where the terminal side intersects the unit circle. $$ 81^{\circ} $$

A 20-meter line is used to keep a weather balloon in place. The sine of the angle that the line makes with the ground is \(\frac{3}{4}\) . How high is the balloon in the air?

In \(8-17,\) for each angle with the given degree measure, find the measure of the reference angle. \(505^{\circ}\)

In \(11-18, P\) is a point on the terminal side of an angle in standard position with measure \(\theta\) and on a circle with center at the origin and radius \(r .\) For each point \(P,\) find: a. \(r\) b. \(\csc \theta\) c. \(\sec \theta\) d. \(\cot \theta\) \((9,-9)\)

In \(3-44,\) find the exact value. $$ \csc 45^{\circ} $$

In \(13-20, P\) is a point on the terminal side of an angle in standard position with measure \(\theta\) and on a circle with center at the origin and radius \(r .\) For each point \(P,\) find: a. \(r\) b. \(\cos \theta\) c. \(\sin \theta\) d. \(\tan \theta\) $$ (-3,6) $$

In \(8-17,\) name the quadrant in which an angle of each given measure lies. $$ 1,050^{\circ} $$

In \(15-22\) , for each given angle in standard position, determine to the nearest tenth the coordinates of the point where the terminal side intersects the unit circle. $$ 137^{\circ} $$

From a point on the ground that is 100 feet from the base of a building, the tangent of the angle of elevation of the top of the building is \(\frac{5}{4} .\) To the nearest foot, how tall is the building?

In \(3-44,\) find the exact value. $$ \tan 45^{\circ} $$