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Karla is running along a circular race track that has a radius 3.3 km long. She starts at the 3-o'clock position and travels in the CCW direction. During Karla's first lap, she passes Gabriel at 2.896 km to the right and 1.582 km above the center of the track. Also during her first lap, Karla stops to tie her shoe when she is 0.289 km to the right and -3.287 km above the center of the race track. Imagine an angle with its vertex at the center of the race track that subtends Karla's path. Tip: Draw and label a picture of this situation. a. How many radians is the angle swept out since Karla started running to when she passes Gabriel? radians Preview b. How many radians is the angle swept out since Karla started running to when she stops to tie her shoe? radians Preview c. Should the number of radians Karla has swept out since starting to run to when she stops to tie her shoe be positive or negative? Choose the BEST answer. Onegative since she is running counter-clockwise Opositive since she is running counter-clockwise negative since the answer to b. is negative Opositive since the answer to b. is positive d. How many km has Karla traveled since she started running to when she stops to tie her shoe? km Preview e. Karla continues to run after tying her shoe. Suppose the angle from the center of the track that Karla's path subtends since starting at 3 o'clock is 7.9 radians. How many km has Karla run? km Preview

Karla is running along a circular race track that has a radius 3.3 km long. She starts at the 3-o'clock position and travels in the CCW direction. During Karla's first lap, she passes Gabriel at 2.896 km to the right and 1.582 km above the center of the track. Also during her first lap, Karla stops to tie her shoe when she is 0.289 km to the right and -3.287 km above the center of the race track. Imagine an angle with its vertex at the center of the race track that subtends Karla's path. Tip: Draw and label a picture of this situation. a. How many radians is the angle swept out since Karla started running to when she passes Gabriel? radians Preview b. How many radians is the angle swept out since Karla started running to when she stops to tie her shoe? radians Preview c. Should the number of radians Karla has swept out since starting to run to when she stops to tie her shoe be positive or negative? Choose the BEST answer. Onegative since she is running counter-clockwise Opositive since she is running counter-clockwise negative since the answer to b. is negative Opositive since the answer to b. is positive d. How many km has Karla traveled since she started running to when she stops to tie her shoe? km Preview e. Karla continues to run after tying her shoe. Suppose the angle from the center of the track that Karla's path subtends since starting at 3 o'clock is 7.9 radians. How many km has Karla run? km Preview

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
Problem 3ECP: In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home...
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Karla is running along a circular race track that has a radius 3.3 km long. She starts at the 3-o'clock position and travels in the CCW direction. During Karla's first lap, she passes Gabriel at 2.896 km to the right and 1.582 km above the center of the track. Also during her first lap, Karla stops to tie her shoe when she is 0.289 km to the right and — 3.287 km above the center of the race track. Imagine an angle with its vertex at the center of the race track that subtends Karla's path. Tip: Draw and label a picture of this situation. a. How many radians is the angle swept out since Karla started running to when she passes Gabriel? radians Preview b. How many radians is the angle swept out since Karla started running to when she stops to tie her shoe? radians Preview c. Should the number of radians Karla has swept out since starting to run to when she stops to tie her shoe be positive or negative? Choose the BEST answer. negative since she is running counter-clockwise Opositive since she is running counter-clockwise Onegative since the answer to b. is negative Opositive since the answer to b. is positive d. How many km has Karla traveled since she started running to when she stops to tie her shoe? km Preview e. Karla continues to run after tying her shoe. Suppose the angle from the center of the track that Karla's path subtends since starting at 3 o'clock is 7.9 radians. How many km has Karla run? km Preview
Transcribed Image Text:Karla is running along a circular race track that has a radius 3.3 km long. She starts at the 3-o'clock position and travels in the CCW direction. During Karla's first lap, she passes Gabriel at 2.896 km to the right and 1.582 km above the center of the track. Also during her first lap, Karla stops to tie her shoe when she is 0.289 km to the right and — 3.287 km above the center of the race track. Imagine an angle with its vertex at the center of the race track that subtends Karla's path. Tip: Draw and label a picture of this situation. a. How many radians is the angle swept out since Karla started running to when she passes Gabriel? radians Preview b. How many radians is the angle swept out since Karla started running to when she stops to tie her shoe? radians Preview c. Should the number of radians Karla has swept out since starting to run to when she stops to tie her shoe be positive or negative? Choose the BEST answer. negative since she is running counter-clockwise Opositive since she is running counter-clockwise Onegative since the answer to b. is negative Opositive since the answer to b. is positive d. How many km has Karla traveled since she started running to when she stops to tie her shoe? km Preview e. Karla continues to run after tying her shoe. Suppose the angle from the center of the track that Karla's path subtends since starting at 3 o'clock is 7.9 radians. How many km has Karla run? km Preview
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