Chapter 9

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \sin \theta=0.2672 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \cos \theta=0.2672 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \sin \theta=0.9692 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \cos \theta=0.9692 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \sin \theta=0.6534 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \cos \theta=0.6534 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \tan \theta=7.3478 $$

In \(51-58,\) find the smallest positive value of \(\theta\) to the nearest minute. $$ \tan \theta=0.0892 $$

A ramp that is 12 feet long is used to reach a doorway that is 3.5 feet above the level ground. Find, to the nearest degree, the measure the ramp makes with the ground.

The bed of a truck is 4.2 feet above the ground. In order to unload boxes from the truck, the driver places a board that is 12 feet long from the bed of the truck to the ground. Find, to the nearest minute, the measure the board makes with the ground.

The terminal side of an angle in standard position intersects the unit circle at the point \((-0.8,0.6) .\) a. In what quadrant does the terminal side of the angle lie? b. Find, to the nearest degree, the smallest positive measure of the angle.

The terminal side of an angle in standard position intersects the unit circle at the point \((0.28,-0.96) .\) a. In what quadrant does the terminal side of the angle lie? b. Find, to the nearest degree, the smallest positive measure of the angle.