Find the reference angle for a rotation of 74°.

plot - 2 -30° and find the cartesion coordinokes

Select the image of the triangle after it has been rotated counterclockwise by 30° about point P?

A man went off-roading in his Jeep. 40 miles after leaving the highway, he turned left, creating an angle of 95° between the two paths. After another 55 miles he reached the highway again. How much of the highway did he bypass? 95⁰ Round to the nearest hundredth of a mile. He bypassed approximately miles. fo Q Qu

Find he reference anglet 20 °

07 < Guadalupe is skiing along a circular ski trail that has a radius 3.1 km long. She starts at the 3-o'clock position and travels in the CCW direction. Guadalupe stops skiing when she is - 1.002 km to the right and 2.934 km above the center of the ski trail. Imagine an angle with its vertex at the center of the ski trail that subtends Guadalupe's path. a. How many radians has the angle swept out since Guadalupe started skiing? radians Preview b. How many km has Guadalupe skied since she started skiing? 1 km Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Submit 30 10:05 D

Determine only the x coordinate of the new point after a rotation of 72° about (0, 0) from the point (4, 0). Round the value to the nearest tenth. A/

Identify which quadrants in the polar coordinate system the following points lie.  1. (5,9π/7) 2. (-5, 6π/7) 3. (-5,3π/7) 4. (5,-4π/7)

The town of Plainfield is 4 miles east and 6 miles north of Burlington. Allentown is 8 miles west and 1 mile north of Plainfield. A straight road passes through Plainfield and Burlington. A second straight road passes through Allentown and intersects the first road at a point somewhere south and west of Burlington. The angle at which the roads intersect is π/4 radians. Explain how to find the location of the point of intersection and carry out the computation you describe.

Consider the carousel in the picture above. The innermost horse in the picture is 12 feet from the center of the carousel. The outermost horse is 24 feet from the center. After the carousel rotates 120°, approximately how far has the outermost horse traveled? 603.19 ft. 50.27 ft. 16 ft. 25.13 ft.