Radical Expressions and Equations

Simplifying Radicals

Operations with Radical Expressions

Graphing Square Root Functions

Trigonometric Ratios

Angles of Elevation and Depression

1. Express in simplest radical form. 2. Express in simplest radical form 3. In right triangle ABC shown below, what is the value of cos A ? 1) 2) 3) 4)

4. In ∆ABC, m ∠C = 90. If AB = 5 and AC = 4, which statement is not true? 1) cos A = 4/5 2) tan A = 3/4 3) sin B = 4/5 4) tan B = 5/3 5. A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find, to the nearest degree, the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing. 6. A trapezoid is shown below. Calculate the measure of angle x, to the nearest tenth of a degree

7. A metal pipe is used to hold up a 9-foot fence, as shown in the diagram below. The pipe makes an angle of 48° with the ground. Determine, to the nearest foot, how far the bottom of the pipe is from the base of the fence. Determine, to the nearest foot, the length of the metal pipe

8. Campsite A and campsite B are located directly opposite each other on the shores of Lake Omega, as shown in the diagram below. The two campsites form a right triangle with Sam’s position, S. The distance from campsite B to Sam’s position is 1,300 yards, and campsite A is 1,700 yards from his position. What is the distance from campsite A to campsite B, to the nearest yard? 1) 1,095 2) 1,096 3) 2,140 4) 2,141