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 vertexat 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 Previewb. How many km has Guadalupe skied since she started skiing?1km PreviewBox 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 InfinityBox 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 InfinitySubmit30 10:05D

Answered: Image /qna-images/answer/79d73983-fa71-422c-a2cb-62b3fed25834.jpg

Answered: Guadalupe is skiing along a circular…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Wendy is skiing along a circular ski trail that has a radius of 2.8 km. She starts at the 3-o'clock position and travels in the CCW direction. Wendy stops skiing when she is 0.883 km to the right and 2.657 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Wendy's path. TIP: Draw a picture! Include in your picture of Wendy's path: the trail, the coordinates where Wendy starts and stops, the angle that Wendy traverses, and the distance s that Wendy travels. a. How many radians is the angle, 0, swept out since Wendy started skiing? __radians Preview Hint: You might use one of the following functions: cos -1, sin , or tan b. How many kilometers, s, has Wendy skied since she started skiing? ___km Hint: Recall that = (or s = r. theta)if an angle has a measure of radians and subtends an arc s units long along a circle with a radius r units long.
A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. a. Suppose the racecar has traveled 50 meters along the race track. i. How many radians has the racecar swept out? radians Preview ii. What is the racecar's distance to the right of the center of the race track (in meters)? meters Preview iii. What is the racecar's distance above the center of the race track (in meters)? meters Preview b. Let d represent the racecar's varying distance traveled (in meters) along the circular race track. i. Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters). Preview ii. Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters). Preview
The figure below is a diagram that shows how Colleen estimates the height of a tree that is on the other side of a stream. She stands at point A facing the tree and finds the angle of elevation from Ato the top of the tree to be 51°. Then she turns 105° and walks 25 feet to point B, where she measures the angle between her path AB and the line BC extending from her to the base of the tree. She finds that angle to be 38°. Use this information to find the height of the tree. (Round your answer to the nearest whole number.)
stacie is driving 60 mph in a car whose wheels have a 30 inch diameter. find the angular speed of the wheels
Bailey installs solar panels in Saskatoon. She adjusts the angle to match the season. In winter, the angle of elevation for panels in Saskatoon is 75.8°. The panels are 2.21 m tall. The roof is flat. How tall should the supporting brace be? 2.21 m In spring and fall, the panels from Question 4 will tilt to meet the brace at a height of 1.92 m. Draw a diagram. What will the angle of elevation be for spring and fall? supporting brace
A man is walking away from a 30-foot flagpole. When he reaches point B, the angle to the top of the pole is 60 ̊ . Graph, label, and find his distance from the flagpole at point B. ( round to ̊nearest tenth.)
The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster, h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form. Fill in the blanks to report your result as follows. a should be written as an integer or…

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