Respuesta :

The bearing of B from D is 213.7 degrees

What is bearing?

The bearing of a point from another point is the measure of angle in degrees measured clockwise from north.

The bearing of B from D is calculated as:

[tex]B^o =180 + \angle ADB[/tex]

The measure of angle ADB is calculated using the following tangent ratio:

[tex]\tan(\angle ADB) = \frac{30}{45}[/tex]

[tex]\tan(\angle ADB) = 0.6667[/tex]

Take the arctan of both sides

[tex]\angle ADB = \tan^{-1}(0.6667)[/tex]

Evaluate the arctan

[tex]\angle ADB = 33.7\°[/tex]

Recall that:

[tex]B^o =180 + \angle ADB[/tex]

So, we have:

[tex]B^o = 180^o +33.7^o[/tex]

[tex]B^o = 213.7\°[/tex]

Hence, the bearing of B from D is 213.7 degrees

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