Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ <u>28.6 km</u>
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II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ <u>34.8 km</u>
Let y be x, and x be y.
x = 4y - 8
Rearrange to make y the subject.
x + 8 = 4y
Therefore
y = (x + 8) / 4
is the inverse.
QUESTION 10:
- The long edge of the paper is 11 inches long
- The frame is 4 long edges long
4 times 11 = 44 inches.
Now for the feet calculation!
- 1 foot = 12 inches
44 inches divided by 12 inches is 3 2/3 feet.
RESULT:
Cameron's poster frame is 44 inches long and 3 2/3 feet (OR 3.66666667 feet).
QUESTION 11:
- First, convert 3 yards into feet.
- 1 yard = 3 feet
- 3 yards = 9 feet
- 9 feet plus 2 feet = 11 feet.
- Converting feet into inches means multiplying the number of feet by 12 (since every foot has 12 inches)
-11 feet times 12 = 132 inches.
RESULT:
Use my explanation to determine that 3 yards and 2 feet = 132 inches.
