The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as

Using Pythagoras :

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

To obtain the angle of depression, q :

Therefore, q can be written in terms of d thus ;

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18.75 gallons

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