Recall that 0 represents the radian measure of the angle subtending the path Laura has traveled...
Diana is skiing along a circularski trail that has a radius of 2.6 km. She starts at the 3-o'clock position and travels in the CCW direction. Diana stops skiing when she is 1.512 km to the right and 2.115 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Diana's path. a. How many radians has the angle swept out since Diana started skiing? radians Preview...
Hillary is skiing on a circular ski trail that has a radius of 1.3 km. She starts at the 12-o'clock position (the north side of the trail) and travels in the CCW direction. Imagine an angle with its vertex at the center of the circle, an initial ray pointing in the 12 o'clock direction, and that subtends the path Hillary has traveled. Let 8 represent its measure (in radians). Which of the following expressions represents Hillary's distance above (to the...
Consider the angle shown below that has a radian measure of θ (where θ > 0). A circle is centered at the angle's vertex, and the terminal point is shown. Suppose cos(θ) = -0.848 and sin(θ) = -0.53. a. What is the measure of the terminal point's vertical distance above the center of the circle in units of the radius of the circle? b. What is the measure of the terminal point's horizontal distance to the right of the center of the...
A point starts at the location (0, 5) and moves CCW along a circle centered at (0, 0). Let θ represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context. a. Suppose the point has swept out 0.25 radians since it started moving ( θ = 0.25). How many radians would need so be swept out from the 3-o'clock position [or from (5, 0)] to get...
A point starts at the location (0, 4) and moves CCW along a circle centered at (0, 0). Let θ represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.2 radians since it started moving (θ = 0.2). How many radians would need to be swept out from the 3- o'clock position [or from (4, 0)] to...
Kristin boards a Ferris wheel at the 3-o'clock and rides the Ferris wheel for one full rotation (as shown below). The radius of the Ferris wheel is 12 meters. Let s represent the varying number of meters Kristin has traveled along the circular path since the ride started. Kristin 0:00/0:11 a. Write an expression (in terrms of s) to represent the number of radians Kristin has swept out since the ride started. Preview b. Write an expression (in terms of...
Consider the angle shown below that has a measure of radians. Suppose that sin(0) = 0.863. - - - - - - - - - a. What is the value of cos(0)? cos(O) = .5878086423 Preview * Try again. Recall that the Pythagorean Identity states that (cos(0)² + (sin(0))2 = 1 and you know the value of sin(O). Pay attention to the sign of your answer. The terminal point is to the left of the circle's center. What does that...