A forest ranger at a control post X observes a lookout tower at point Y on a bearing of 07… — JAMB UTME

A forest ranger at a control post $X$ observes a lookout tower at point $Y$ on a bearing of $072^\circ$ . What is the bearing of the control post $X$ from the lookout tower $Y$ ?

$252^\circ$ Answer
B
$108^\circ$
C
$288^\circ$
D
$162^\circ$

Answer

The bearing of the control post

X

from the lookout tower

Y

252^\circ

The bearing of

Y

from

X

072^\circ

. To find the bearing of

X

from

Y

(the back bearing), we add

180^\circ

to the forward bearing because

072^\circ

is less than

180^\circ

. Calculation:

072^\circ + 180^\circ = 252^\circ

Step-by-Step Solution

Identify the forward bearing of point

Y

from point

X

Forward bearing =

072^\circ

The question states that

Y

is observed from

X

on a bearing of

072^\circ

Apply the rule for finding a back bearing when the forward bearing is less than

180^\circ

Back bearing =

\text{Forward bearing} + 180^\circ = 072^\circ + 180^\circ = 252^\circ

Since

072^\circ < 180^\circ

, we add

180^\circ

to determine the reverse direction from North at point

Y

Key Concept

Back Bearing / Reverse Bearing

Estimated Time:45s

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Key Concept

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