Three surveyors have placed themselves at three locations around the edge of a canyon, as shown in the diagram below. The surveyors measured the angles between them and noticed that m∠BAC=55∘, m∠ACB=61∘, and m∠CBA=64∘. They also noticed that Surveyor A and Surveyor C are 1379.1 feet apart.

What is the distance between Surveyor A and Surveyor B?
 feet   

What is the distance between Surveyor B and Surveyor C?
 feet   

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The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?

Asurvey of 45 teens found that they spent an average of 25.6 hours per week in front of a screen (television, computer, tablet, phone, based on the survey’s sample mean, which value could be the population mean? 2.3 hours 27.4 hours 75.3 hours 41.5 hours

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.