Question

If g=27 and F=54° find h. Round to the nearest tenth
(picture provided)

Answer 1

The correct answer is option b. 15.9

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

Answer 2

For this case we have to:

`cos (F) = \frac {h} {27}`

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

So, by clearing h we have:

`h = 27 * cos (54)\\h = 27 * 0.58778525\\h = 15.87020175`

Rounding out the value of h we have:

`h = 15.9`

Answer:

Option B