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
Julli [10]
3 years ago
7

An aeroplane is flying due north but, to avoid a storm, it flies 150km

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer:

1) angle ABC = 80°

angle ACB = 40°

2) extra distance traveled = 122 km

Step-by-step explanation:

From the image, angle p° will be equal to 60° (alternate angles).

Angle t° will be equal to (90 - 60) = 30°.

Angle r° = (320 - 270) = 50°

Therefore angle ABC = angle (r° + t°) = (50 + 30) = 80°

BCD is a right angle triangle, therefore, the two other angles apart from the right angle must sum up to 90°.

BCD = ACB = (90 - 50) = 40°

lenght of DB is calculated as

sin 60 = DB/150

0.866 = DB/150

DB = 0.866 X 150 = 129.9 km

AD^2 = 150^2 - 129.9^2 = 5625.99 km

AD = 75 km

Tan 50 = CD/129.9

1.192 =CD/129.9

CD = 129.9 X 1.192 = 154.84 km

BC^2 = 154.84^2 + 129.9^ = 40849.44

BC = 202.11 km

If the plane had flown due north it would have covered AD + CD = 75 + 154.84 = 229.84 km

The divertion took a total distance of AB + BC = 150 + 202.11 = 352.11 km

The extra distance is 352.11 - 229.84 = 122.27 km

Approximately 122 km

You might be interested in
Please help.. omgg urgent
Inga [223]
The top one. they can't be expressed in a fraction or decimal
4 0
3 years ago
Read 2 more answers
Which container will hold the most?
elena55 [62]

Answer:

cylinder lookin one .. right ?

6 0
3 years ago
Read 2 more answers
Which of the following expressions represents 3 less than 5 times a number 2 A) 5n - 3 B) 5 - 3n C) 3n - 5 D) 3 - 5n​
vlabodo [156]
Answer:

The answer is D
7 0
3 years ago
A building has 4 stories that are each 15 feet high. A scale drawing has the height of the building at 5 inches.
zlopas [31]
Every 1 inch is 12 feet.
8 0
3 years ago
Read 2 more answers
Combine like terms to simplify the expression below:<br> 14x - (2x -y) -y STEP BY STEP PLEASE
dimulka [17.4K]
14x - (2x - y) - y
14x + (-1(2x - y)) - y
14x + (-1(2x) - 1(-y)) - y
14x + (-2x + y) - y
14x + 1(-2x + y) - y
14x + 1(-2x) + 1(y) - y
14x - 2x + y - y
14x - 2x
12x
8 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of a number and 13 divided by 11
    10·1 answer
  • Rachel took $100 shopping. She spent $37.85 on a new outfit and $42.70 on shoes. How much change did she bring home?
    8·1 answer
  • Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an 1 point
    9·1 answer
  • Hey hey I need some help with percent change
    7·2 answers
  • I don’t really get number 4
    8·2 answers
  • 12.52 divided by 2.874 is?
    7·2 answers
  • The sum of two numbers is 34. The smaller number is 20 less than the larger number. What are the numbers?
    7·1 answer
  • 5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step
    14·1 answer
  • Bobby earns $72 for the day and $6 for each delivery he makes. He wants to make $150 in work day. How many deliveries must Bobby
    14·1 answer
  • √2 x √27 use the properties of radicals to simplify
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!