Respuesta :

carlosego

For this case we have to:

[tex]cos (F) = \frac {h} {27}[/tex]

That is, the cosine of the angle F, will be equal to the adjacent leg on the hypotenuse.

So, by clearing h we have:

[tex]h = 27 * cos (54)\\h = 27 * 0.58778525\\h = 15.87020175[/tex]

Rounding out the value of h we have:

[tex]h = 15.9[/tex]

Answer:

Option B

imlittlestar

Answer:

The correct answer is option b.   15.9

Step-by-step explanation:

Points to remember:-

Trigonometric ratio

Cos θ = adjacent side/Hypotenuse

From the figure we can see a right triangle triangle FGH.

To find the value of h

It is given that, g=27 and F=54°

Cos F =  adjacent side/Hypotenuse

Cos 54 =  adjacent side/Hypotenuse

     = FG/FH = h/g

h = g * Cos F = 27 * Cos 54 = 27 * 0.5878 = 15.87 ≈ 15.9

Therefore the correct answer is option b.  15.9

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