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Darya [45]
3 years ago
13

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 t

he angle of elevation to the top of the mast?
Mathematics
1 answer:
notsponge [240]3 years ago
4 0

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

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