Question

Please hurry thank you

Answer 1

7.9 ft

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)=(adjacent)/(hypotenuse)\\cos(44)=(x)/(11)`

Cross multiplying, we can solve for
`x`:

`cos(44)=(x)/(11)\\x=cos(44)*11\\x=7.91`

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