answer.
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
professor190
1 month ago
13

Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de

depresión de 27°, mientras que para ver la ciudad B es de 36°.

Mathematics
1 answer:
Inessa [12.5K]1 month ago
6 0

Respuesta:

La altitud del globo por encima del nivel del suelo es de 449,6 metros.

Explicación paso a paso:

El enunciado no está completo. El texto completo es: "Un globo se desplaza entre las ciudades A y B, que se encuentran a 1.500 m de distancia. Los ocupantes del globo observan la ciudad A con un ángulo de depresión de 27°, mientras que, para la ciudad B, el ángulo es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?"

El diagrama que ilustra esta situación está en el archivo adjunto. Para calcular la altura del globo, se pueden emplear las funciones trigonométricas, siendo recomendable hacer uso de la función tangente para los ángulos de depresión mencionados:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x representan la altura desde el suelo y la distancia horizontal desde la ciudad A.

Luego, se igualan las alturas en ambas ecuaciones para calcular la distancia horizontal del globo en relación a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Por último, la altura del globo sobre el suelo se calcula como:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo respecto al nivel del suelo es 449,6 metros.

You might be interested in
Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plan
zzz [12365]
Mr. Barth is creating an arrow across the school parking lot. The area covered by the arrow is calculated to be 70 square units. Step-by-step explanation: I've marked the points on a coordinate grid and connected them with a rough red line, which is shown in the attached image. The arrow's shape consists of a triangle and a rectangle. Therefore, the total area of the arrow equals the triangle's area plus the rectangle's area. The triangle's area is determined using the formula 0.5 * base * height, where the base measures 12 units while the height is 7 units, giving an area of 42. The rectangle's area is calculated as length * height, where length equals 7 and height equals 4, resulting in an area of 28. Hence, the total area of the arrow equals 42 + 28 = 70 square units.
4 0
19 days ago
Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.
Leona [12618]

Answer:

Binomial probability, with n = 5, p = 0.352

Step-by-step explanation:

Each time Mookie Betts stepped up to bat, there were only two possible results: either he achieved a base hit or he didn't. The odds of hitting during each at-bat remain unaffected by prior attempts. Therefore, the binomial probability distribution applies to tackle this problem.

Binomial probability distribution

The chance of getting exactly x successes over n trials, considering p probability.

His batting average stood at 0.352.

This indicates that p = 0.352

Let's assume he bats five times in tonight's matchup against the Yankees.

This means that n = 5

a. This showcases what type of probability

Binomial probability, with n = 5, p = 0.352

8 0
23 days ago
Which statements are correct? Check all that apply.
babunello [11817]

Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.

2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.

3. True. Geometric constructions are crafted using a compass and straightedge.

4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.

6 0
1 month ago
Read 2 more answers
A semicircular flower bed has a diameter of 3 metres.
babunello [11817]

Answer:

3.5 m^2

Step-by-step explanation:

For a shape that is half a circle, use the formula: A = \frac{1}{2} π r^2

Calculate the radius, which is half of the diameter: r = d/2 = 3/2 = 1.5

Insert r = 1.5 into the formula.

A = \frac{1}{2} π 1.5^2

A = \frac{1}{2} (3.14) 1.5^2

Calculate the result with your calculator and round it off.

The final answer is 3.5

3 0
2 months ago
Read 2 more answers
Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
AnnZ [12381]

Answer:

- 128 Superscript StartFraction 3 Over x EndFraction

- (4RootIndex 3 StartRoot 2 EndRoot)x

- (4 (2 Superscript one-third Baseline) ) Superscript x

Step-by-step explanation:

Considerando la ecuación dada (\sqrt[3]{128} )^{x}\\

De acuerdo con una de las leyes de índices,

(\sqrt[a]{m} )^{b}\\= (\sqrt{m})^\frac{b}{a}

Aplicando esta ley a la pregunta;

(\sqrt[3]{128} )^{x}\\ = {128} ^\frac{x}{3}\\ \\= (\sqrt[3]{64*2})^{x} \\ = (4\sqrt[3]{2})^{x} \\= (4(2^{1/3} )^{x} )

<pLos siguientes son ciertos de acuerdo con el cálculo presentado

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 2 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

5 0
1 month ago
Read 2 more answers
Other questions:
  • 7. Tamara goes on a spring break trip with her school to visit historical sites in Italy. She purchases $200 of souvenirs while
    10·3 answers
  • Planes Q and R are parallel. Explain how you know lines a and b are skew.
    10·2 answers
  • Given: PFST is a rectangle m∠SOT = 60°, OS = R=4 Find: ST and PT
    11·2 answers
  • adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th
    14·2 answers
  • The image shows a portion of a bridge supported by two vertical pillars built from the points B and C on the slope below. The le
    5·2 answers
  • Rina is 6x+3/8 feet tall and Ryan is 5x+1/8 feet tall. How much taller is Rina than Ryan
    9·1 answer
  • Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
    6·1 answer
  • Raj and Nicole's polynomial expressions are added to create a sum, written in standard form. What can you determine about the de
    13·1 answer
  • Kim only has $24 to buy pens and notebooks. Each pen costs $2. Each
    10·2 answers
  • 4. On square JKLM below, if J is located at
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!