Danielle B.
asked • 06/24/21Trigonometry question
Elli is sailing from bear creek provincial park on okanagan lake to rattlesnake island. She had planned to sail 26.0km in the direction S71°E; however, the wind and current pushed her off course. After several hours, she discovered that she had actually been sailing S79°E. she checked her map and saw that she must sail S81°W to reach rattlesnake island. Determine, to the nearest tenth of a kilometre, the distance remaining to rattlesnake island.
answer 3.6km
dont know what to do
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1 Expert Answer
*one thing to note, the distance of her original path she was supposed to take that leads directly to her destination would be equal to the path length that she took when she went off course and reached that other location. She traveled 26 km and realized that she was not at her destination and then figured out that she needed to travel in the direction S81W to reach her destination from that point.
Johnathan F.
tutor
First, visualize the problem and draw a diagram to illustrate the problem. http://geokov.com/education/compass-directions-azimuth.aspx
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06/25/21
Johnathan F.
tutor
Draw an azimuth compass similar to the one shown on this link.
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06/25/21
Johnathan F.
tutor
Draw the paths representing the: path she originally planned to take to reach her destination, the path she took when she went off course, and the path she has to take from the point she reached when she went off course to her destination.
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06/25/21
Johnathan F.
tutor
Use the azimuth compass to make sure that you are drawing each of the paths in their correct direction.
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06/25/21
Johnathan F.
tutor
You can use a trigonometry identity to solve this problem.
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06/25/21
Johnathan F.
tutor
You can find the angle between the path she took when she went off course and the path she originally intended to take that leads directly to her destination.
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06/25/21
Johnathan F.
tutor
you can use sin=opposite/hypotenuse to find the distance she needs to travel to her new destination.
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06/25/21
Johnathan F.
tutor
multiply the sine of this angle between the path she took when she went off course and the path she originally intended to take by 26 km (length of the path she was originally supposed to take) to get the answer.
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06/25/21
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Mark M.
Start with drawing and labeling a diagram with all angles and distances. Without that any explanation would be incomprehensible.06/24/21