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
zalisa [80]
1 year ago
8

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point hi

s broomstick, considering that the wind is pretty strong at 21 km/h [S 55° E]. His broomstick has an airspeed of 18 m/s. Determine the heading he should have and the velocity of the broom with respect to the ground.
Mathematics
1 answer:
GrogVix [38]1 year ago
3 0

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

<h3>What is the heading he should have and the velocity of the broom with respect to the ground?</h3>

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅  = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence  velocity

VR = (18 cos∅   + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

Read more about Co-ordinate

brainly.com/question/4511664

#SPJ1

You might be interested in
A publisher needs to send many books to a local retailer each small box can hold 20 books
Bess [88]
Is there any other number or is it algebra
3 0
2 years ago
If a is an integer and n is a positive integer, we define a mod n to be the remainder when a is divided by n. The integer n is c
dezoksy [38]

Answer:

Divisor

Step-by-step explanation:

Given

a\ mod\ n

Required

What does n represents

In arithmetic, the number that divides another is referred to as divisor;

Take for instance;

5\ mod\ 3 = 2

This implies that when 5 is divided by 3, the remainder is 2

The bold text (divided by 3) means that 3 is the divisor of 5;

When compared to a\ mod\ n

We have that

n = 3

<em>Reason being that, n and 3 are in the same position base on order of appearance;</em>

Hence, n represents the divisor

4 0
3 years ago
What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent
elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for Tan\theta= \frac{Opposite}{adjacent}

Next, putting the value in the formula.

⇒ Tan 60° = \frac{12}{adjacent}

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= \frac{12}{\sqrt{3} } = 6.92 ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0
3 years ago
What is 6/2(1+2)? Correct answers only please!!
kherson [118]

Answer:

your answer is 9

hope this helps xx

8 0
3 years ago
Read 2 more answers
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
inessss [21]
It would be 20.15 because the 65% of 31 is 20.15
8 0
2 years ago
Other questions:
  • Manuel's gas tank is
    10·1 answer
  • What is the solution to the following equation? 1/3 (p+9)=3+2(p-6)
    5·1 answer
  • Evaluate the limit of lim/n-&gt;infinity 6n^2+5/3n^2
    11·2 answers
  • Va rog,e urgen!!!!!
    8·1 answer
  • What is the solution of - 8x- 5+3x=7+4x- 9
    15·1 answer
  • What is 10,000 steps in feet
    9·2 answers
  • Find the volume of the rectangular prism
    11·2 answers
  • Help meh pls 【=◈︿◈=】 What division problem does this area model represent?
    10·1 answer
  • I will give brainliest
    10·1 answer
  • How would I solve this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!