Answer:
The length of HF is 73.9 feet.
Step-by-step explanation:
Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Where θ is the angle given in the triangle = [tex]80^{o}[/tex].
Then,
Sin 80 = [tex]\frac{x}{75}[/tex]
⇒ x = Sin 80 x 75
= 0.9848 x 75
= 73.86
x = 73.9
Thus, the length of HF is 73.9 feet.
