Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
- Total horizontal distance = opposite = (d + 0.6) miles
- Vertical distance = Adjacent = 2.5 Miles
To obtain the angle of depression, q :
- Tanθ = opposite / Adjacent
[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
- [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
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