A forest ranger station Y is located on a bearing of 115^\circ from an observation tower X… — JAMB UTME

A forest ranger station $Y$ is located on a bearing of $115^\circ$ from an observation tower $X$ . What is the bearing of the observation tower $X$ from the forest ranger station $Y$ ?

A
$065^\circ$
B
$245^\circ$
$295^\circ$ Answer
D
$115^\circ$

Answer

295^\circ

The bearing of

Y

from

X

115^\circ

. To find the bearing of

X

from

Y

(the back bearing), add

180^\circ

to the forward bearing because

115^\circ < 180^\circ

. Calculating

115^\circ + 180^\circ

yields

295^\circ

Step-by-Step Solution

Identify the given forward bearing

The bearing of

Y

from

X

\theta = 115^\circ

This is the initial directional angle measured clockwise from True North at point

X

Calculate the back bearing of

X

from

Y

Back bearing

= 115^\circ + 180^\circ = 295^\circ

Because the forward bearing is less than

180^\circ

, the back bearing is obtained by adding

180^\circ

to find the opposite direction.

Key Concept

Back Bearing Calculation

Question

Answer

Step-by-Step Solution

Key Concept

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