Trigonometry Word Problem involving Inverse trigonometric functions

[acen_gr]

Homework Statement

A ship is d feet from a dock (horizontal distance). The dock is 40 feet above sea level. The angle of depression from the dock to the ship is θ. Write θ as a function of d.

Homework Equations

This question is accompanied with choices. The choices are
$$(A) θ = 40arctan(d)$$
$$(B) θ = arctan(\frac{40}{d})$$
$$(C) θ = arcsin(\frac{d}{60})$$
$$(D) θ = \frac{arctan(d)}{40}$$
$$(E) none of these$$

The Attempt at a Solution

First, I would like to know if my graphical representation of this problem is correct.

Thank you!

 

[HallsofIvy]

Do you know the definitions of "sine", "tangent", etc.? If not, look them up. Once you know them you will see that this problem is trivial.

 

[ehild]

It is a very nice (and correct) drawing, with a very big ship.

ehild

 

[acen_gr]

Do you know the definitions of "sine", "tangent", etc.? If not, look them up. Once you know them you will see that this problem is trivial.

It is a very nice (and correct) drawing, with a very big ship.

ehild

Ok sir so if my interpretation of the problem is right, then it would be right if I answer choice B right? Thank you!

 

[ehild]

Ok sir so if my interpretation of the problem is right, then it would be right if I answer choice B right? Thank you!

YES!

ehild

 

[acen_gr]

YES!

ehild

Yes! I made it right. I just wonder if my understanding was right because I'm not from an English-based country so some phrasing are not clear to me. Thank you everyone!