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
masha68 [24]
3 years ago
14

A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of

205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?
Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

You might be interested in
Help me. I'm not very good at math
ahrayia [7]
X=-3 I’m sure I’m right
3 0
2 years ago
3/4 -7/10 -3/4 8/10 least to greatest
Nastasia [14]
7/10,8,10,3/4,3/4 is the answer
4 0
3 years ago
Please help! What’s the mean of 13, 13, 10?
avanturin [10]

Answer:

For mean it's the average. You add all three numbers (13, 13 , 10), then you divide it by three since their are three numbers. Average would be 12.

Hope this helps (:

8 0
3 years ago
Domain and range for y=2+x^2
olga nikolaevna [1]
The domain is the x-axis, and the range is the y values.  The domain would be
-∞  to ∞. And the range is 2 to ∞. 
7 0
3 years ago
Linda has two cats. The difference in weight of her Maine Coon and Siderian is at least 6 pounds. Linda's Siberian has a height
Simora [160]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 45 POINTS
    5·1 answer
  • What is the answer for 5e=3e+36.please show work.
    15·2 answers
  • 3
    5·1 answer
  • What is the answer to 4/0 ÷ 5 11/14​
    7·1 answer
  • The width of a triangle is 33 try to find the length of the perimeter to make it at least 388​
    8·1 answer
  • Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers
    7·1 answer
  • The chart below shows the cost of the three different-sized boxes of chicken nuggets that are available at The Chicken Shack.
    9·2 answers
  • Which relations are functions?<br><br> Select Function or Not a function for each graph.
    6·1 answer
  • 2(x+1)=10 <br><br> what is x and how did you get it i need help please thank youu
    13·2 answers
  • Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Vic
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!