Transcript Chapter 6 Review

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