1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horsena [70]
2 years ago
11

An airplane is flying in a direction of 75° north of east at a constant flight speed of 300 miles per hour. The wind is blowing

due west at a speed of 25 miles per hour. What is the actual direction of the airplane? Round your answer to the nearest tenth. Show your work. PLS PLS PLSPLS HELP URGANT
Mathematics
1 answer:
Nutka1998 [239]2 years ago
6 0

Answer:

79.7°

Step-by-step explanation:

We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph.  We now add both horizontal components to get the resultant horizontal component of the airplane's speed.

So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.

The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph

The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)

Ф = tan⁻¹(289.778 mph/52.646 mph)

Ф = tan⁻¹(5.5043)

Ф = 79.7°

You might be interested in
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
PLEASE HELP ASAP
melomori [17]

Answer:

the point where the graph crosses the y-axis.

Step-by-step explanation:

I took the quiz and this was the correct answer

3 0
3 years ago
What are the x and y intercepts for this equation? 2x - 3y = 6
masya89 [10]

Answer:

So standard form is 2x-3y=6

Slope intercept form is y=2/3x-2

3 0
3 years ago
There are 4 kings in a standard deck of 52 playing cards. What is the probability if randomly selecting a card that is NOT a kin
antoniya [11.8K]
D I know is D but not really
7 0
3 years ago
Read 2 more answers
Ty bought a notebook for $3 and pencils $2 if both items were on 25% off what did tyler spend​
Pavlova-9 [17]

Answer: 1.25$

Step-by-step explanation:

25% of 5 dollars (total) is 1.25

7 0
3 years ago
Other questions:
  • Travelling only through the crust, surface waves arrive after body waves. though they arrive later than body waves, surface wave
    12·2 answers
  • How to determine if the columns of a matrix are linearly independent?
    8·1 answer
  • ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line
    11·1 answer
  • A rectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) How many cubes with side lengths of 1
    7·2 answers
  • What’s the slop it’s on my final
    14·2 answers
  • What is the answer to 2.5d + 7.5 = 20
    8·1 answer
  • Can the side of a triangle have lengths 2,8,9?
    12·1 answer
  • Scale of a map is one ratio 1000 a PS4 centimeters by 3 cm what is the area in centimeter cubic a meter cubic
    15·1 answer
  • Please help me!
    11·1 answer
  • Pls help me with this problem
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!