please help!!!

A,B,C and D are four towns.
B is 30km due East of A
C is 30km due North of A
D is 45km due South of A

calculate the bearing of D from B

please helpABC and D are four townsB is 30km due East of AC is 30km due North of AD is 45km due South of Acalculate the bearing of D from B class=

Respuesta :

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB, which is ...

... ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, so is ...

... 180° +33.7° = 213.7°

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We use angle ADB because the reference direction for bearings is North.

The tangent of an angle (ADB) is the ratio of its opposite side (AB) to its adjacent side (AD).