Question

Standing on one bank of the canyon, Jane notices a tree at a bearing of 115º. Then the
surveyor walks 300 meters. The bearing of the tree is then 85º. What is the distance across 1
the canyon.​

Answer 1

Given : Standing on one bank of the canyon, Jane notices a tree at a bearing of 115º. Then the  surveyor walks 300 meters.

To find ; What is the distance across the canyon.​

Solution:

Bearing is a direction measured from north and it tracks angle in clockwise direction with north line

Let say distance across  the canyon.​  = P

115º

180º -  115º  = 65º

distance across  the canyon.​ = P/tan65º + P/tan85º

= Pcot65º  + Pcot85º

Pcot65º  + Pcot85º  = 300

=> P = 541.7  

distance across  the canyon.​  541.7 m

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