She<span> is </span>going<span> to </span>pour<span> it </span>into<span> a </span>paint tray<span> that </span>measures 10 inches wide<span>, </span>12 inches long, and5 cm deep. (1 gallon<span> =... ... (</span>1 gallon<span> = </span>231 in3<span>, </span>1 inch<span> = </span>2.54 cm<span>) Which of the </span>following scenarios will<span>happen? a. The </span>paint will<span> not fill it
</span>
Using the cosine function:
Solve for b:
![\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D16%5Ccdot%5Ccos%20%2845%29%20%5C%5C%20b%3D8%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
5/1 or 5 as slope is the rise or y, over the run or x
Andrew can reach a maximum of 
high up the wall.
The right-angled triangle formed can be solved using the 
ratio. that is
where 
is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for , we get
Since Andrew can reach an extra 
above the point where the ladder rests against the wall, the maximum height Andrew can paint is
Another solved word problem on trigonometry can be found here: brainly.com/question/12146092
