Answer:
The length of the hypotenuse is of 143 ft.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle [tex]\theta[/tex], in a right triangle, is given by the length of the adjacent side divided by the length of the hypotenuse.
In this question:
[tex]\cos{43} = \frac{109}{h}[/tex]
Using a calculator, the cosine of 43 degrees is of 0.73135. So
[tex]0.73135 = \frac{109}{h}[/tex]
[tex]0.73135h = 109[/tex]
[tex]h = \frac{109}{0.73135}[/tex]
[tex]h = 149[/tex]
The length of the hypotenuse is of 143 ft.