Respuesta :

For this case we have to, by definition:

[tex]cos (F) = \frac {h} {26.4}[/tex]

This means that, the cosine of the angle F, will be equal to the leg adjacent to the angle on the hypotenuse of the triangle.

So, by clearing h we have:

[tex]h = 26.4 * cos (35)\\h = 26.4 * 0.81915204\\h = 21.6256[/tex]

Rounding out the value of h we have:

[tex]h = 21.6[/tex]

Answer:

Option B

Answer:

The correct answer is option b.   21.6

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=26.4 and F= 35°

Cos F =  adjacent side/Hypotenuse

Cos 35 =  adjacent side/Hypotenuse

     = FG/FH = h/g

h = g * Cos F = 26.4 * Cos 54 = 26.4 * 0.8191 = 21.62 ≈ 21.6  

Therefore the correct answer is option b.  21.6