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
Tomtit [17]
3 years ago
6

Two airplanes are approaching the airport tower at the same altitude. Radar shows that plane A is 20 miles due east of the tower

and that plane B is 22 miles at 15° north of east. (See the drawing provided above).
How far apart are the two planes? Round to the nearest hundredths.


Answer: ___ miles
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

40 miles

Step-by-step explanation:

We can solve this by drawing a triangle if one plane is east of the tower and the other north east. We assume that the tower is the other point of the triangle. We have an angle of 15 degrees connecting tower to plan B. We can sine rule to solve this problem.

The sine rule is:

sinA/a=sinB/b=sinC/c

As we know one angle and two sides we can solve for the one side and two angles as we have 3 unknowns and 3 known values:

Let plane A have angle A and side a, plane B have angle B and side b:

sinA/a=sinB/b

sinA/20=sin15/22

sinA =(0.259/22)\cdot{20}=0.235

A = sin^-1 (0.235)=13.6 degrees

Therefore angle C is:

180-13.6-15=151.4

We can solve for c:

sinB/b=sinC/c

0.259/22=0.479/c

c=40.6

The planes are 40.6 miles apart

You might be interested in
A Hindu might try to live a virtuous life to _____________.
DIA [1.3K]
The answer is B. Hindus believe in the concept of reincarnation, so obtaining good karma by living a virtuous life will help a person to be reborn of a higher caste (a higher position in the social order)  in their next life.
7 0
3 years ago
How many sucrose molecules are in 3.0 moles of sucrose
vredina [299]
3*6.022*10^23 no of molecules in 3.0 moles of sucrose
8 0
3 years ago
If Jeremy is in the 90th percentile in the main office test scores is 180 with a standard deviation of 15 which of the following
Alika [10]
199. 

the z score for the 90th percentile is 1.28, so you can solve the equation

\frac{x-180}{15} = 1.28

which gets you the 199
4 0
3 years ago
Please help need done by the next hour! Will mark Brainliest
EastWind [94]

Answer:

you did not even show the answer

Step-by-step explanation:

you have to post it lol;)

3 0
2 years ago
What Is The Sum Of 12 And Its Opposite??<br><br><br>FIRST IS BRAINLEIST AND 5 STATS!<br>​
ahrayia [7]

Answer:

0

Step-by-step explanation:

The opposite of 12 is -12, and 12+(-12)=12-12, or 0.

8 0
3 years ago
Read 2 more answers
Other questions:
  • write write a subtraction sentence where the difference is positive. Use a positive and negative integer?
    8·2 answers
  • Select the correct answer from each drop-down menu. In the figure, line segment AB is parallel to line segment CD. The measure o
    7·1 answer
  • Solve the equation and show your work and combine like terms first
    13·1 answer
  • A number generator was used to simulate the percentage of people in a town who can skateboard. The process simulates randomly se
    5·2 answers
  • Nina's Produce has 2.4 ton of potatoes to sell at the farmer's marquet. By noon they have sold half of their inventory. How many
    14·2 answers
  • Helps please the question is what was the battery change level when it started charging?
    5·1 answer
  • I NEED HELP QUICK with this math problem
    11·2 answers
  • PLEASE REMEMBER PUT THEM IN THE CORRECT ORDER
    13·2 answers
  • 12 (X + 2) - 4x = 4( 2X + 11 ) -20<br><br>Solve for X ​
    9·1 answer
  • We should make a z00m meeting lol<br><br> Whats 0x0 I forgot ;)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!