Gerardo Salguero
Per. 3 09-21-17
Unit #1 Portfolio
Section 1.1
Degree Measure:
A way to measure the size of an angle is to use degree measure. The angle formed by rotating a ray through one complete revolution has a 360 degree measure, which completes a revolution.
One complete revolution = 360
[pic 1] [pic 2] [pic 3]
[pic 4] [pic 5] [pic 6]
Right Angle Acute Angle Straight Angle
[pic 7] [pic 8] [pic 9]
Supplementary Angles Obtuse Angle Complementary Angles
Examples of Complementary and Supplementary Angles
a. 70° b.140°
SOLUTION
Give the complement and the supplement of each angle.
- The complement of 70° is 20° since 70° + 20° = 90°. The supplement of 70° is 110° since 70° + 110° = 180°.
- The complement of 140° is -50° since 140°+ (-50°) = 90°. The supplement of 140° is 40° since 140° + 40° = 180°. [pic 10][pic 11]
Examples of Pythagorean Theorem
a. X b.
[pic 12] [pic 13]
Solutions:
- b.
30-60-90 Triangles[pic 14]
[pic 15]
Example:
[pic 16]
45-45-90 Triangle
[pic 17]
[pic 18]
Example:
[pic 19]
Examples:
The roof of a house is to extend up 13.5 feet above the ceiling which is 50 feet across. Find the length of one side of the roof.
A two-person tent is to be made so that the height at the center is 4 feet. If the sides of the tent are to meet the ground at an angle of 60°, and the tent is to be 6 feet in length, how many square feet of material will be needed to make the tent?
[pic 20]
Section 1.2
Coordinate Plane Unit Circle with quadrantal sides
[pic 21][pic 22][pic 23][pic 24]
Coterminal Angles:
[pic 25][pic 26]
Find all angles that are coterminal with the given angle.
a. 30° b. 150° c. -135°