An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?





405 m

Answer:

The height of the plane is 405 meters

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.

Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:

[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]

We need to find H, so we solve for H:

[tex]H=4629\cdot\tan5^\circ[/tex]

H=405 m

The height of the plane is 405 meters

4x-8 = 12
4x - 8 + 8 = 12 + 8
4x= 20
4/4x=20/4 x=

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 52 out of 1258 movies with summer release date earned over 400 million dollars. They also counted that out of 545 movies released in the winter, 8 earned over 400 million dollars.
Over 4 million USD Under 4 million USD
Summer release 57 1251
Winter release 11 544
Total
1. We want to investigate whether there is a difference in the proportion of movies that eam over 400 million dollars for the two release seasons. Which hypotheses should we use?
2. Calculate the difference in the proportions of movies that eamed over 400 million dollars.
3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.
We write Summer on_____cards and cards representing the movies with summer release date, and Winter on_____cards. Then, we shuffle these cards and split them into two groups one group of size_____representing the movies with box-office over 400 million dollars, and another group of size_____representing the rest of the movies. We calculate the difference in the proportions of movies that eaned over 400 million dollars during the two release seasons to get PSmmer PWinter. Finally, we build a histogram of these simulated dfterences.

8 mice.

There are _ mice.
All the mice run away.


_ mice are left.

Please answer correctly

A survey showed that 82% of kids play video games at home. What fraction of kids play video games at home?

85 miles on 8 gallons of gas

eight water faucets having the same rate of flow,fill a tank in 27 minutes.If two faucets are turned off,how long will the remaining 6water faucets take to fill the tank?​

Need answers to this geometry assignment similarity and similarity transformations

6. The admission fee to an amusement park is $20. It
costs an additional p dollars to rent a locker to hold
your belongings. The total cost for 3 people to
enter the amusement park and each rent a locker is
$87. How much does it cost for one person to rent a
locker?

A. $9
B. $29
C. $10
D. $1

Evaluate the expression

3n - x =



if n = 5 and x = 3

which number is the additve inverse of -5

a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm

Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N

amanda owes $20,000 in student loans for college. The simple interest rate in 6.25% and the loan will be paid off over 6 years. Including interest how much will Jodi pay for her loan? HURRYY!! i will mark brainliest!!

help me please i’ll give u a cookie

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.

b. Find the length of the hypotenuse of the triangular lot.
Show how you know.

if a part is 3 cm long how long is it in inches

Y=3x+10 slope and y intercept

0.16
As a repeating fraction

Estimate the average time spent picking one's nose in minutes per day

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

a hill rises 10 meters over horizontal distance of 8 meters
calculate the slope

The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?c) Which two variables are most likely to be measured on a ratio scale?d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?

Pythagoras and True Love
SRB
155 239
Pythagoras is a "Mr. Lonelyhearts" columnist for a popular newspaper. He recently
received the following letters. How would you solve these lovebirds' problems?
15a6=c
c=24.4
1. Dear Pythagoras: My girlfriend Roma and I want to elope. But we have a
problem. She lives in a third-floor apartment. There is a 14-foot-wide moat
around the apartment, and Roma's window is 20 feet above the moat. If I
throw a rope up to Roma, she could slide down it and escape. How long a
rope should I buy?
Longingly, Jules
149+
142.c
796=02

O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?

Review the graph.

Which function is represented in the graph?

y = tanx
y = cosx
y = tan-1x
y = cos-1x

HELPP ！I'm stucked at question b. can somebody help me? I'm not sure when should I change the sign thank you! ​​

What is 5/8 divided by 1/4?​

Store B sells a set for $27.00 and offers a 20% discount

x+12x-13 = 0 and azo, what
is the value x+lo?​

Please Solve as Fast as You Can
The coordinates of Point A are (-1, 4). If Point A is reflected across the x-axis AND then across the y-axis, what are the coordinates of Point A now?