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
Lorico [155]
3 years ago
11

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

e of the ship from y and the distance of the ship from x?​

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

You might be interested in
I need help with this problem asap :(
Dafna1 [17]

Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

3 0
2 years ago
Find the area of the shaded region. Use 3.14 as an approximation.​
MA_775_DIABLO [31]

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = \pi r^2 (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

8 0
2 years ago
There are at least 5 slices of bread left in the bag. Use p as your variable
kykrilka [37]

Answer: p ≤ 5

Step-by-step explanation: The inequality is: p ≤ 5

8 0
2 years ago
Graham's monthly bank statement showed the following deposits and withdrawals.
pychu [463]

Answer:

622.27

Step-by-step explanation:

- $87.45 + (- $24.76) + (-17.29) = $-129.5

$143.87 + $348.90 = $492.77

492.77 - (-129.5) = 622.27

8 0
2 years ago
Im confused, can someone help?
Bumek [7]
Well, the y-intercept is represented by B. So b would be the dot crossing the y-axis in each graph (which you already circled). Next, the slope for top left is: -1.5, top right is: -1.7, bottom left is: 3, and bottom right is: 1.33. I got those by using this very helpful website named Desmos. Now, I’m order to write the equation for each graph is very simple, all you have to do is put in the slope and y-intercept into the equation. For example, the top left one would be:
y = -1.5x + 4 since we know that the slope is equal to -1.5 and the y-intercept is equal to 4. Hope this helps :)
8 0
3 years ago
Other questions:
  • Steve claims that the sun of two off numbers is always even. How can Steve prove his conjecture?
    9·2 answers
  • a muffin recipe requires 1 cup of sugar and 2 tbsp of vanilla. If the recipe is being increased to 1.5 cups of sugar, which prop
    14·1 answer
  • How do you find the third side if a right triangle??
    5·2 answers
  • Determine the quadrant (0.5)​
    10·1 answer
  • A number divided by .05 is 29
    9·2 answers
  • Please help this is for my geometry final i will appreciate it so much :)
    8·2 answers
  • What of the angle is the vertex?
    6·1 answer
  • In this diagram, circle A had a radius = 11.3 and BC = 13.3. BC is a tangent line, calculate the distance of CD.
    12·1 answer
  • Please help me!!!!!!!!!!
    13·2 answers
  • Those people at a local car dealership are pay to commission based on the profit earned from each car they sell if the profit is
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!