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
sweet [91]
2 years ago
13

A treasure map directs you to start at palm tree

Physics
1 answer:
masya89 [10]2 years ago
6 0

The direction of the 90° turns are the possible directions used for the calculations

The four distances and directions are;

  • <u>24.2 m, 65.6° West of North</u>
  • <u>29.7 m, 42.7° East of North</u>
  • <u>24.2 m, 65.6° East of North</u>
  • <u>29.7m, 47.7° West of North</u>

Reason:

Let point A represent the motion of the treasure hunter, we have:

Turning West then West;

Walking due north to location (0, 15)

Turn 90° West and walk 22.0 m to the location (-22, 15)

Turn 90° West again and walk 5.00 m. to the location (-22, 10)

The location of point A = (-22, 10)

Direction \ of \ point \ A = arctan \left(\dfrac{10}{-22} \right) \approx -24.4^{\circ}

Direction to North = 90° - 24.4° ≈ 65.6°

Distance = √((-22)² + 10²) ≈ 24.2

Therefore, we have;

  • 24.2 m, 65.6° West of North

Turning East then West:

Turn 90° East and walk 22.0 m to the location (22, 15)

Turn 90° West again and walk 5.00 m. to the location (22, 20)

The location of point A = (22, 20)

Direction \ of \ point \ A = arctan \left(\dfrac{20}{22} \right) \approx 42.7^{\circ}

Direction to North = 90° - 42.3° ≈ 47.7° East

Distance = √((-22)² + 20²) ≈ 29.7

Therefore, we have;

  • 29.7 m, 42.7° East of North

Turning East then East:

Turn 90° East and walk 22.0 m to the location (22, 15)

Turn 90° East again and walk 5.00 m. to the location (22, 10)

The location of point A = (22, 10)

Direction \ of \ point \ A = arctan \left(\dfrac{10}{22} \right) \approx 24.4^{\circ}

Direction to North = 90° - 24.4° ≈ 65.6° East

Distance = √((-22)² + 10²) ≈ 24.2

Therefore, we have;

  • 24.2 m, 65.6° East of North

Turning West then East:

Turn 90° West and walk 22.0 m to the location (-22, 15)

Turn 90° East and walk 5.00 m. to the location (-22, 20)

The location of point A = (-22, 20)

Direction \ of \ point \ A = arctan \left(\dfrac{20}{-22} \right) \approx -42.7^{\circ}

Direction to North = 90° - 42.7° ≈ 47.7° West

Distance = √((-22)² + 20²) ≈ 29.7

Therefore, we have;

  • 29.7m, 47.7° West of North

Learn more here:

brainly.com/question/11489059

You might be interested in
Biotic factors are the blank and blank part of the ecosystem
True [87]

Abiotic factors are the nonliving physical and chemical components of an ecosystem, while biotic factors are the living components of an ecosystem. Both types of factors affect reproduction and survival

3 0
3 years ago
A hair dryer draws a current of 10 A plugged into a 120 V outlet. What is the resistance of the hair dryer?
Ganezh [65]
<span>This problem can be solved by the formula used to find resistance. The formula is R=V/I which basically means divide the Voltage by the Current to find the Resistance in an object. Ohm's law.</span>
8 0
3 years ago
Read 2 more answers
Which statement best describes what happens when more waves pass a certain point per second?
Ilya [14]

Answer:D increase in frequency

Explanation:

3 0
3 years ago
28. Ken and Musa shared a cake such that Ken got twice the size
ratelena [41]

Answer:

Musa = \frac{1}{3}

Ken = \frac{2}{3}

Explanation:

Given

Ken = 2 * Musa --- Ken's share

Required

The fraction each got

Since they both shared a cake, we have:

Ken + Musa = 1

Substitute: Ken = 2 * Musa

2 * Musa+ Musa = 1

Factorize

Musa(2+ 1)= 1

Musa(3)= 1

Divide both sides by 3

Musa = \frac{1}{3}

Recall that: Ken = 2 * Musa

Ken = 2 * \frac{1}{3}

Ken = \frac{2}{3}

3 0
3 years ago
Impact of Synthetic Materials Discussion
Wittaler [7]

With the below stated fact  I think that  the pros of using synthetic materials outweighs the cons.

Before we answer the question

If the pros of using synthetic materials outweigh the cons or otherwise, let us first establish the what a synthetic material is and its pros and cons

Synthetic material

Synthetic material is a material in which a substances are changed chemically to produce a material with different characteristics.

Types of Synthetic material

  •    Plastic bag  
  •    Synthetic fiber/cloth  
  •    Artificial sweetener
  •    Synthetic fuel      
  •    Aspirin

Pros of Synthetic materials

  • They are used in construction because of there strong bonding
  • They can be molded
  • They can be colored into any shade
  • They are cheap

Cons of Synthetic materials

  • Sometimes none degradable
  • They do not absorb water.
  • They are highly flammable
  • Melts easily

In conclusion

Although Synthetic materials has so very pressing disadvantages to human kind it is unrefusable the importance of Synthetic materials to the day to day live of all humans

Therefore, I think that  the pros of using synthetic materials outweighs the cons

For more information on this visit

brainly.com/question/21056290

7 0
3 years ago
Other questions:
  • What do you call a group of sea turtles?
    14·2 answers
  • What is in the blank?
    7·1 answer
  • Brizan has just lost his job. He is proactive in trying to resolve this source of stress: He immediately uses the Internet to lo
    12·2 answers
  • Find the uncertainty in a calculated electrical potential difference from the measurements of current and resistance. Electric p
    9·1 answer
  • Jeff is a landscaping contractor and lifts a rock weighing 600 pounds by wedging a board under the rock. Jeff weighs 150 pounds
    11·2 answers
  • Current can flow through an electric circuit only when the switch is .
    14·2 answers
  • In the diagram, q1 = -3.33*10^-9 C and
    9·1 answer
  • What is the energy equivalent of an object with a mass of 2.5 kg? 5.5 × 108 J 7.5 × 108 J 3.6 × 1016 J 2.25 × 1017 J
    6·2 answers
  • Tritium, the 3H atom, consists of a nucleus of one proton and two neutrons with a single electron. It is unstable and decays via
    14·1 answer
  • Two particles of a gas collide. Why is this considered an elastic collision? (1 point)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!