Question

Please hurry thank you

Answer 1

Answer:

7.9 ft

Step-by-step explanation:

The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.

Side $x$ is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.

Thus, we can write:

$cos(A)=\frac{adjacent}{hypotenuse}\\cos(44)=\frac{x}{11}$

Cross multiplying, we can solve for $x$:

$cos(44)=\frac{x}{11}\\x=cos(44)*11\\x=7.91$

Rounding to nearest tenth, we have $x=7.9$ ft.