Question

A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is the angle of elevation to the top of the mast?

Answer 1

Answer:

The angle of elevation to the top of the mast is 23.82°

Step-by-step explanation:

Given as :

The length of the rope = 37.13 foot

The length of the mast = 15 foot

Let the angle of elevation to the top of the mast = Ф

So, Sin angle = $\dfrac{\textrm perpendicular}{\testrm hypotenuse}$

Or, Sin Ф = $\dfrac{\textrm length of mast}{\testrm length of rope}$

or, Sin Ф = $\dfrac{\textrm 15}{\testrm 37.13}$

or , Sin Ф = 0.40398

∴ Ф = $Sin^{-1}$ 0.40398

or, Ф = 23.82°

Hence The angle of elevation to the top of the mast is 23.82°  Answer