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
Mariana [72]
3 years ago
6

17. Farimah and Helio are standing 15 ft. apart from each other and looking up at a kite that is with the flying between them. F

arimah is flying the kite on a 57 ft. string at an angle of 68 ground. How far is Helio from the kite? 64.1 ft. 56.2 ft 60.0 ft. 53.2 ft.
Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

Helio is 53.2 feet from the kite ⇒ the last answer

Step-by-step explanation:

* Lets change this story problem to a trigonometry problem

- Assume that there is a triangle joining between the

 kite, Farimah and Helio

- The name of the triangle is KFH, where K position of the kite,

 F position of Farimah and H is the position of Helio

∵ Farimah and Helio are standing 15 feet apart from each other

∴ FH = 15 feet

∵ Farimah is flying the kite on a 57 feet string at an angle

 of 68 with the ground

∴ FK = 57 feet

∴ m∠KFH = 68°

∵ We need to know that Helio is how far from the kite

∴ We need to calculate the length of KH

* Now lets find the best way to find the length of KH

 using the trigonometry

- We have the length of two sides and the measure of the included

 angle between them , then the best way is the cosine Rule

* Lets explain the cosine rule:

- In ΔABC:

∵ a is the length of the side opposite to ∠A ⇒ a is BC

∵ b is the length of the side opposite to ∠B ⇒ b is AC

∵ c is the length of the side opposite to ∠C ⇒ c = AB

∴ a² = b² + c² -2bc × cos(A)

∴ b² = a² + c² -2ac × cos(B)

∴ c² = a² + b² -2ab × cos(C)

* We will use the rule in our problem to find HK

∵ FH is k , HK is f , KF is h

∴ f² = h² + k² - 2hk × cos(F)

∵ h = 57 feet , k = 15 feet , m∠F = 68°

∴ f² = (57)² + (15)² - 2(57)(15) × cos(68) = 2833.4227

∴ f = √2833.4227 = 53.2 feet

* Helio is 53.2 feet from the kite

 

You might be interested in
Izzys dog is 10 1/2 years old. Car end dog is 18 months old. How many years older is Izzys dog.
dsp73
12 months in a year. So 18 months= 1 year and 6 months. Izzys dog is 10 1/2= 10 years and six months. Then subtract 1 year and 6 months by 10 year and six months and it would be exactly 9 years older.
6 0
3 years ago
Ella wants to make a fruit salad for herself and 5 friends.
vfiekz [6]
1. I believe she would have 15 cups of fruit salad because it’s 5 cups of grapes, 6 cups strawberries(1 pint = 2 cups which means 6 cups of strawberries) and 4 cups of watermelon (1 pint = 4 cups
2. Since there are 15 cups of fruit salad you would need to divide 15 by the number of friends which would make it 2.5 cups of fruit salad per person
5 0
3 years ago
Read 2 more answers
Each inhabitant of a remote village always tells the truth or always lies. A villager willgive only a ""Yes"" or ""No"" response
pshichka [43]

Step-by-step explanation:

This is actually a very old riddle, but it is two guards and two doors life death .

So let's apply the same logic to this one.

You only meet one villager and you don't know if he is one of the ones who only tells the truth or always lies, to answer this riddle, the question is actually to an hypothetical third party, another villager, not present, this is a little convoluted so bear with me:

(Pointing to one of the roads): If I asked another villager if this road would lead me to the ruins, would he be correct?

If the villager is a truth one, the true-villager, would tell you that the liar-villager would say no (thus leading you to the jungle).

  • Let's analyze this one, so the villager always tells the truth, and you happen to be pointing to the right direction (ruins), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the right direction, a liar would tell you no, because the liar would point you to the other road as the correct (jungle), so the true-villager will say no
  • If you happen to be pointing to the wrong direction (jungle), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the wrong direction, the truth-villager would tell you no, because the liar would point you to the wrong road as the correct (jungle), so the villager will say no

Therefore, no matter what villager you run into, the question will always lead you to the jungle, and therefore you pick the other road.

4 0
3 years ago
Approximately 4% of silicon wafers produced by a manufacturer have fewer than two large flaws. If Y, the number of flaws per waf
Doss [256]
Y ~ Po (λ)

P(Y < 2) = P(Y ≤ 1) = 0.04

Plug into the pdf for Po(λ), and solve for λ

After that, use your answer to find P(Y > 5)
6 0
3 years ago
Eight times the sum of a number and -2 is the same as nine times the number. Find the number
Alik [6]

Answer:

let \: the \: unknown \: number \: be \: x \\ 8 (x +  (- 2) = 9 \times x \\ 8  (x - 2) = 9 \times x \\ 8x - 16 = 9x \\  - 16 = 9x - 8x \\  - 16 = x \\ x =  - 16

5 0
3 years ago
Other questions:
  • What is the result of subtracting the second equation from the first? \begin{aligned} 2x+7y &amp;= -8 \\\\ 2x-5y &amp;= -1 \end{
    13·1 answer
  • I really need some help I don't understand ;-;
    5·1 answer
  • Zack and Mandy are comparing results from a 2-day lab experiment. On Monday, Zack’s results showed that 0.891 of the particles w
    11·1 answer
  • Find the derivative of f(x) = 2x2 + 7x at -3. That is, find f'(-3).
    6·1 answer
  • A cell phone company dropped the
    9·1 answer
  • PLEASEE SOMEONE HELP ME ON THIS ITS TODAY IN A COUPLE HOURS!!!
    5·1 answer
  • What is 1+1? I need help fast.
    15·1 answer
  • Hi its my birthday!! please help me <br> I think it might be choice letter A or B ?? im stuck
    5·1 answer
  • Justin has 750 to buy supplies for the school computer lab he buys 11 boxes of printer paper that costs 49 each how much money d
    9·1 answer
  • See image attached below
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!