University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

94

Pages:

6
Author:

SpaceCadet101

Algebra II-CS 12.1-12.2 With Radians Name: Solve ∆ABC using the diagram and the given measurements. Round answers to two decimal places. Problem 1: A = 63° C = 27° + 90° = 117° B = 180° - 63° - 117° = 0° cos(63°) = a/c c * cos(63°) = a c = a / cos(63°) cos(27°) = 4 / c c * cos(27°) = 4 c = 4 / cos(27°) a = 4 / cos(63°) ≈ 9.4 c = 4 / cos(27°) ≈ 4.51 b = a + c ≈ 9.4 + 4.51 ≈ 13.91 Problem 2: The sun casts a shadow of a man on the ground that is 5.45 feet long. The angle of elevation is 50°. What is the approximate height of the man? tan(50°) = x / 5.45 x = 5.45 * tan(50°) x ≈ 6.5 ft Problem 3: The sun casts a shadow of a pine tree on the ground. The tree is 65 feet tall. The angle of depression is 53.4°. Estimate the length of the shadow. tan(53.4°) = 65 / x x * tan(53.4°) = 65 x = 65 / tan(53.4°) x ≈ 48.36 ft Use what you know about special angles to find x and y. Answers must be reduced fractions and cannot be decimals. 5. Triangle 1: Angle: 30° Hypotenuse: 2 Short side: x Long side: y Using the 30-60-90 triangle rule: x = 1 y = √3 Triangle 2: Angle: 45° Hypotenuse: 2 Short side: x Long side: y Using the 45-45-90 triangle rule: x = √2 y = √2 Triangle 3: Angle: 60° Hypotenuse: 2 Short side: x Long side: y Using the 30-60-90 triangle rule: x = √3 y = 1 Convert the degree measure to radians or the radian measure to degrees. a. -135° (must be in terms of π) -135° * π/180° = -3π/4 b. 10π/4 10π/4 * 180°/π = 450° Draw an angle with the given measure in standard position. 260° angle in standard position, measuring 260 degrees 7π/4 angle in standard position, measuring 315 degrees Find one positive angle and one negative angle that are co-terminal with the given angle. 325° Positive coterminal angle: 325° Negative coterminal angle: -35° Відкриється в новому вікні etc.usf.edu circle with angles 325° and 35° 5π/3 Positive coterminal angle: 300° Negative coterminal angle: -60° circle with angles 300° and 60°