b please!!! need urgently
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The bearing of B from D is 213.7 degrees
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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