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This homework assignment focuses on applying trigonometric functions to solve real-world problems. Students must determine the angle between the x-axis and a specified line while also calculating trigonometric function values for angles in the fourth quadrant. Additionally, students will analyze an angle of depression scenario to find the distance a car travels and the height of a building using angles of elevation. Visual aids such as diagrams are encouraged to label known and unknown values before solving the problems.
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Tonight’s Homework • Memorize all Trig stuff!!Pg. 367 #9 – 24 all
6.6 Applying Trig Functions Applications Determine the angle between the x – axis and the line y = -3x + 4. • The terminal side of Ɵ is in QIV and lies on the line y = -1.5x. Find all trig function values of Ɵ and the measures of Ɵ and Ɵ’.
6.6 Applying Trig Functions Definitions • The angle between the x – axis in the positive direction and a line is called the angle of inclinations of the line. • The terms angle of elevation or angle of depression are used to describe the angle between the line of sight and the horizontal.
6.6 Applying Trig Functions More Applications! From the top of a 100-ft building, a man observes a car moving toward him. If the angle of depression of the car changes from 22° to 46° during the period of observation, how far does the car travel? • The angle of elevation of the top of a building from a point 100 ft away from the building on level ground is 65°. Find the height, h, of the building. • Draw a picture • Label knowns • Determine unknown • Solve the triangle