# math-trig-problems-pack-fa19-uco.pdf - a;lkdsfj HOMEWORK...

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a;lkdsfj HOMEWORK SUPPLEMENT MATH 1593: Trigonometry University of Central Oklahoma
Geometry Review 1. Specify the measure of the angle in degrees using the correct algebraic sign (+ or - ): (a) 1 3 rotation clockwise (b) 7 12 rotation counterclockwise 2. Find the measure of the angle: (a) the complement of 39 (b) the supplement of 113 3. Find the measures of two complementary angles with measures of (3 x + 4) and ( x + 4) . 4. Find the measure of the missing angle for the given triangle. 5. Find the measures of two supplementary angles with measures of (5 x ) and (7 x ) . 6. Let α , β , and γ be interior angles of a triangle. Find α , β , and γ if α = 2 β and γ = α + β . 7. Find the measure of the missing side for the given right triangle. 8. A 15-meter piece of string is stretched from the top of a 12-meter flagpole to the ground. How far is the base of the flag- pole from the end of the piece of string? 9. Find the measure of x given that AB k DE in the following diagrams. Round to two decimal places. (a) (b)
10. A person who wishes to find the height of a tree places a mirror horizontally on the ground 20 meters from the tree and finds that if they stand at point D which is 4 meters from the mirror A and their eye level is 2 meters, they can see the reflection of the tip of the tree. How high is the tree? Note that the angle of incidence of light to the mirror is equal to the angle of reflection 11. In a 45 - 45 - 90 triangle, if the length of the hypotenuse is 3 inches what is the length of each leg? Round answers to two decimal places. 12. In a 30 - 60 - 90 triangle, if the shortest leg is 3 inches, what is the length of the longest leg and the hypotenuse? Give exact answers.
Section 5.1: Angles 1. Draw an angle in standard position with the given measure. (a) - 80 (b) 5 π 6 (c) π 2 (d) 415 (e) 22 π 3 (f) - 4 π 3 2. In a cirlcle with radius 3 inches, an arc is intercepted by a central angle with measure 140 . (a) Find the arc length. (b) Find the area of the sector. 3. In a cirlcle with radius 4.5 centimeters, an arc is intercepted by a central angle with measure 2 π 5 . (a) Find the arc length. (b) Find the area of the sector. 4. Convert the following angle measures from radians to degrees. (a) 3 π 4 (b) - 5 π 12 (c) 11 π 6 5. Convert the following angle measures from degrees to radians. (a) - 540 (b) - 120 (c) 150 6. Find the length of the arc of a circle of diameter 14 meters subtended by the central angle of 5 π 6 . 7. Find the length of the arc of a circle of radius 10 centimeters subtended by the central angle of 50 . 8. Find the area of the sector of a circle with diameter 10 feet and an angle of π 2 radians. 9. Find the area of the sector of a circle with central angle of 30 and a radius of 20 cm.