Consider the attached picture. It represents a vector, centered in the origin with angle 41.7 degrees, and a circumference with radius 25, centered in the origin.

As you can see, the horizontal and vertical components of the vector correspond to the lengths of segments OD and OC, respectively.

You might recognize this scenario from you trigonometry class: if the circle had radius 1, we would have

$OD=\cos(41.7),\quad OC=\sin(41.7)$

Since the circle has radius 25, we have to scale those coordinates:

$OD=25\cos(41.7),\quad OC=25\sin(41.7)$

5 0

2 years ago

Adia plans to wallpaper her bedroom. The measurements are 10’ by 12’ with 8’ ceilings. Part 1: What is the total area of the wal

Leokris [45]

10' x 12' are the dimensions for the floor and roof, both of which will not be covered with wallpaper.

The room will have two identical walls with the following dimensions:
10 x 8
12 x 8

The total area to be covered is:
2 x 10 x 8 + 2 x 12 x 8

Total area = 352 square feet

7 0

2 years ago