Part b.) A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead, she hikes for 5 miles along a bearing of N53°W which brings her to the Muffin Observatory. From there, she knows that a bearing of S65°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquatch Point? (Round your answer to 2 decimal places) _____ mi What is the distance between Sasquatch Point and the Chupacabra Trailhead? (Round your answer to two decimal places) _____ mi (Can you please explain in steps how you solved these problems?) **Question:**(a) Find the angle θ in standard position with 0° ≤ θ < 360° which corresponds to each of the bearings given below.(i) due west \[ \boxed{ } \] °(ii) S83°E \[ \boxed{ } \] °(iii) N6.5°E \[ \boxed{ } \] °(iv) due south \[ \boxed{ } \] °(v) N33.25°W \[ \boxed{ } \] °(vi) S70°43'14"W \[ \boxed{ } \] ° \[ \boxed{ } \] ' \[ \boxed{ } \] "(vii) N45°E \[ \boxed{ } \] °(viii) S45°W \[ \boxed{ } \] °**Explanation:**The task is to find the angle θ in standard position (the angle measured counterclockwise from the positive x-axis) that corresponds to each of the given bearings. Below are the angles and bearings for which calculations need to be made:- **due west**: This means the angle is directly towards the west direction.- **S83°E**: This represents an angle that is 83 degrees east of due south.- **N6.5°E**: This denotes an angle that is 6.5 degrees east of due north.- **due south**: This means the angle is directly towards the south direction.- **N33.25°W**: This translates to an angle that is 33.25 degrees west of due north.- **S70°43'14"W**: This specifies an angle that is 70 degrees, 43 minutes, and 14 seconds west of due south.- **N45°E**: This indicates an angle that is 45 degrees east of due north.- **S45°W**: This implies an angle that is 45 degrees west of due south.Fill in the boxes with the correct angles for each bearing when converted into standard position. In this series of exercises, we introduce and work with the navigation tool known as bearings. Simply put, a bearing is the direction you are heading according to a compass. The classic nomenclature for bearings, however, is not given as an angle in standard position, so we must first understand the notation. A bearing is given as an acute angle of rotation (to the east or to the west) away from the north-south (up and down) line of a compass rose. For example, N40°E (read "40° east of north") is a bearing which is rotated clockwise 40° from due north. If we imagine standing at the origin in the Cartesian Plane, this bearing would have us heading into Quadrant I along the terminal side of θ = 50°. Similarly, S15°W would point into Quadrant III along the terminal side of θ = 255° because we started out pointing due south (along θ = 270°) and rotated clockwise 15° back to 255°. Counter-clockwise rotations would be found in the bearings N60°W (which is on the terminal side of θ = 150°) and S27°E (which lies along the terminal side of θ = 297°). These four bearings are drawn in the plane below.The cardinal directions north, south, east and west are usually not given as bearings in the fashion described above, but rather, one just refers to them as 'due north,' 'due south,' 'due east' and 'due west,' respectively, and it is assumed that you know which quadrantal angle goes with each cardinal direction. (Hint: Look at the diagram below.)[Diagram Explanation]The diagram contains a compass rose with the cardinal directions N (North), S (South), E (East), and W (West). There are four additional labeled arrows, showing specific bearings:- N40°E is an arrow pointing 40° clockwise from directly north.- N60°W is an arrow pointing 60° counterclockwise from directly north.- S27°E is an arrow pointing 27° counterclockwise from directly south.- S15°W is an arrow pointing 15° clockwise from directly south.The diagram helps visualize the bearings by illustrating the angles formed between the cardinal directions and the bearings.

Answered: Image /qna-images/answer/7d21a3c1-f2dd-4950-9110-146a5fa27216.jpg

Answered: Part b.) A hiker starts walking due…

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...