Question
upstudy study bank question image url

Find the bearing of \( Y \) from \( X \) to the nearest whole degree. \( \begin{array}{lllll}\text { A } 024 & \text { B } 114^{\circ} & \text { C } 156^{\circ} & \text { D } 204^{\circ} & \text { E } 336^{\circ}\end{array} \)

Ask by Morgan Mckenzie. in Nigeria
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The bearing of \( Y \) from \( X \) is \( 336^\circ \).

Solution

Let’s assume that from point \( Y \) the bearing of \( X \) is given as \( 156^\circ \). The bearing of one point from another is the “reciprocal” of the bearing in the opposite direction. In general, if the bearing from one point to another is \(\theta\), then the reciprocal bearing is found by adding \(180^\circ\) if \(\theta < 180^\circ\) (or subtracting \(180^\circ\) if \(\theta \ge 180^\circ\)). 1. Given that the bearing of \( X \) from \( Y \) is \( 156^\circ \), we add \( 180^\circ \) to find the bearing of \( Y \) from \( X \): \[ 156^\circ + 180^\circ = 336^\circ. \] 2. This angle is already less than \( 360^\circ \), so no further adjustment is needed. Thus, the bearing of \( Y \) from \( X \) is \( 336^\circ \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To find the bearing of point \( Y \) from point \( X \), you would typically need the coordinates or angle differences between the two points. However, in typical navigation, the bearing is measured clockwise from the north direction. If the angles you provided are already representative of bearings from a north reference, you can measure accordingly. However, without more context about the relationship between \( Y \) and \( X \), it's difficult to provide an exact answer from these angles alone. Bearing is crucial in navigation and surveying, but always double-check the directions and angles to ensure accuracy! For further practice, think about how bearings change with changes in position and relative direction. Would you adjust your bearing if the landmarks changed, mid-travel? 📍 Keep exploring those angles!

Related Questions

Latest Geometry Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy