Answer:
357.50$
Step-by-step explanation:
550 x 35% =192.50$
550 - 192.50 = 357.50$
The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
<h3>How to measure diagonal of the cuboid?</h3>
The length of the diagonal of the cuboid is found out using the following formula.

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
- Length (l)=47 in
- Width (w)=33 in
- Height (h)=19.5 in
The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
Learn more about the cuboid here;
brainly.com/question/22694657
#SPJ1
A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is
. We hav to find the value of
.
Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.
Since, 1 feet = 12 inches.
6 feet =
inches.
Now, let us consider the triangle ABC in the attached image,
We have to find

= 
= 1.309

The answer is
G=105. I know this because look at the picture lol. You're welcome though.