First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:
Now, let's add the components of the same direction:
To find the resultant bearing (theta), we can use the formula below:
The angle -86° is equivalent to -86 + 360 = 274°.
Therefore the correct option is b.
11 weeks are required for Riley to work to save enough money to buy the new television
<h3><u>Solution:</u></h3>Given that Riley needs a total of $1,049.77
Riley has saved $200.79 already and earns $77.18 per week at her job
To find: Number of weeks Riley need to work to save enough money to buy the new television
Remaining amount needed = $1,049.77 - $200.79
Remaining amount needed = $ 848.98
Let "n" be the number of weeks Riley need to work to save enough money to buy the new television
Also she earns $77.18 per week at her job
1 week ⇒ $ 77.18
"n" weeks ⇒ $ 848.98
Therefore, by cross multiplication,
Therefore 11 weeks are required for her to work to save enough money to buy the new television
<h3><u>Method 2:</u></h3><em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>
1,049.77 = 200.79 + (77.18)(n)
1049.77 - 200.79 = 77.18n
848.98 = 77.18n
n = 11
Therefore 11 weeks are required for her to work to save enough money to buy the new television