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
Data yang sesuai dengan diagram dibawah ini adalah ...*
sattari [20]

Jawaban:

<h3>D. 1122223333334445</h3>

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

<h3>1122223333334445 (d) ✅</h3>

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

8 0
3 years ago
36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work​
Drupady [299]

Step-by-step explanation:

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

=>27x = 36 * 18

=> x = 24

So 24 days will be required to get work done by 27 men..

5 0
3 years ago
Read 2 more answers
Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.
Zanzabum

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

6 0
3 years ago
Read 2 more answers
The volume of a cube is 512 cubic inches what is the length of each side of the cube
Evgen [1.6K]

Answer:

8

Step-by-step explanation:

volume of cube=l×w×h

in a cube all this are equal so volume=l³

512=l³

cube root on both sides leaves

∛512=l

l=8

6 0
3 years ago
Simplify √ 20 x 8 y 9 to the form a √ b .
Contact [7]

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

6 0
3 years ago
Other questions:
  • Helpppp Plsssss Asap!! Show your work thanx!! ​
    10·1 answer
  • A circle has a center located at 2 5 and passes through the point 10 3 answer
    5·1 answer
  • 3.
    12·1 answer
  • Complement of 63 degrees?
    5·1 answer
  • Hello ..........................................................
    11·2 answers
  • Madelyn is blocking off several rooms in a hotel for guests coming to her wedding.
    8·1 answer
  • Does someone know the answer to this ?
    15·1 answer
  • Solve the right triangle.<br> Round your answers to the nearest tenth.
    13·1 answer
  • Seriously guys, I'm so confused! Please help! I will give brainliest to whoever gives the best answer! Thank you!
    12·1 answer
  • Tell whether (-4, 3) is a solution of the system of linear inequalities.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!