Question

If g=26.4 and F=35° find h. Round to the nearest tenth (picture provided)

Answer 1

For this case we have to, by definition:

`cos (F) = \frac {h} {26.4}`

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:

`h = 26.4 * cos (35)\\h = 26.4 * 0.81915204\\h = 21.6256`

Rounding out the value of h we have:

`h = 21.6`

Answer:

Option B

Answer 2

The correct answer is option b. 21.6

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