A Boat Is Pulled in by Means of a Winch $a = 2$

question 208

Multiple Choice

A boat is pulled in by means of a winch located on a dock $a = 2$ feet above the deck of the boat (see figure) .Let $\theta$ be the angle of elevation from the boat to the winch and let s be the length of the rope from the winch to the boat.Write $\theta$ as a function of s.

• A) \(\theta = \operatorname { arccsc } \frac { 2 } { s }\)
• B) \(\theta = \operatorname { arcsec } \frac { 2 } { s }\)
• C) \(\theta = \arccos \frac { 2 } { s }\)
• D) \(\theta = \arctan \frac { 2 } { s }\)
• E) \(\theta = \arcsin \frac { 2 } { s }\)

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