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Eduardo and Paul take flights from the same Florida airport. Eduardo’s flight to Cuba is 140 miles long, and Paul's flight to Honduras is 357 miles long. If their destinations are 256 miles apart, what is the angle formed by their flight paths? Round the answer to the nearest tenth.

Respuesta :

merlynthewhizz
The flight journey is shown on the diagram attached

We are going to use the Cosine rule to find the angle x

[tex] 256^{2} = 140^{2} + 357^{2} - (2)(140)(357) cos x [/tex]
[tex]65536 - (19600+127449) = - 99960 cos x[/tex]
[tex]-81513 = -99960 cos x[/tex]
[tex]cos x = \frac{81513}{99960} [/tex]
[tex]cos x=0.8154561825[/tex]
[tex]x= cos^{-1}(0.8154561825) [/tex]
[tex]x=35.37 [/tex] degrees
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ewhetsten

Answer:

since these are the options:

A.

35.4°

B.

41.8°

C.

45.8°

D.

66.9°

the answer would be A. the person who answered above my answer was correct

Step-by-step explanation:

pls give the person above me brainliest. i didn't solve the question on my own and he/she did the work to solve it, so they deserve the credit.  

Ver imagen ewhetsten

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