Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?

Answers

Answer 1

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

Therefore, the ship is approximately 2399.23 meters away from the shore.

Therefore, the both ships are approximately 1944.19 meters apart.


Related Questions

If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?

Answers

Since y = 80, 80/40 = 2 so 36 x 2 = 72

x = 72

Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

Which equation models the cost for having Fernando clean a pool for x hours and how much will a 3-hour cleaning cost?

A
y=(25+15)+x;43

B
y=15x+25;70

C
y=25x+15;90

D
y=(25+15)x;120

Answers

Answer:

So, the required option is (B) 15x+25 ; 70

Step-by-step explanation:

grandfath
3. My sister is 12 years older than lam Our combined age is half the age of our
grandfather. Our grandfather is 68 years old. How old am​

Answers

Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

Help!!!! No links PLEASE!!!

Answers

Answer:

1. R

2. K

3. (3,4)

4. (0,0)

Someone please help will mark as brainliest

Answers

The answer is D lolllll

Answer: the answer is C.

The hypotenuse of a right triangle is 30 inches. With one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary

Answers

Answer:

24 inches

Step-by-step explanation:

We can find different sides of a right angle triangle using Pythagorean theorem: [tex]c^2 = a^2+b^2[/tex], where [tex]c[/tex] is the hypotenuse and [tex]a[/tex] and [tex]b[/tex] are the other sides.

Therefore, we can re-arrange the equation for one of the other sides.

[tex]c^2-b^2=a^2[/tex].

Since we know these two sides all we have to do is put them into the equation:

[tex](30)^2-(18)^2=a^2[/tex]

[tex]a^2 = 576\\a= 24[/tex]

Therefore, the missing side is 24 inches.

The frequency of a male cricket’s chirp is related to the outdoor temperature. The relationship is expressed by the graph, where y is the temperature in degrees Fahrenheit and x is the number of chirps the cricket makes in 14 seconds. Write an equation for the line in point-slope form.

Answers

y−60=1(x−20)
y−40=x
y−50=1(x−10)
y−45=1(x−5)
or
y−55=1(x−15)

Solve the quadratic equation by completing the square.
x^2+2x+5=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:

Solution:

Answers

Answer:

[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]

The histogram shows the weights, in pounds, of checked luggage on a flight.

A graph shows weight of a bag (pounds) labeled 12 to 64 on the horizontal axis and number of bags on the vertical axis. 1 bag weighs 12 to 16 pounds. 4 bags weigh 16 to 20 pounds. 5 bags weigh 20 to 24 pounds. 6 bags weigh 24 to 28 pounds. 5 bags weigh 28 to 32 pounds. 4 bags weigh 32 to 36 pounds. 3 bags weigh 36 to 40 pounds. 1 bag weighs 40 to 44 pounds. 0 bags weigh 44 to 48 pounds. 1 bag weighs 48 to 52 pounds. 1 bag weighs 52 to 56 pounds. 1 bag weighs 56 to 60 pounds. 0 bags weigh 60 to 64 pounds.
The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median?

The mean is most likely less than 27 pounds.
The mean is most likely exactly 27.5 pounds.
The mean is most likely about 28 pounds.
The mean is most likely more than 28 pounds.

Answers

Answer:

C, the mean is most likely about 28 lbs.

Step-by-step explanation:

The histogram shows the weights, in pounds, of checked luggage on a flight. The median weight of a checked bag is 27.5 pounds.

thats the answer because you are rounding 27.5

Hope this is helpful! :)

Have a nice day!

Answer:

c give the other person branlist

Step-by-step explanation:

Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .

Answers

Answer:

30ft

Step-by-step explanation:

HELP FOR BRAQINLIETS
T

Answers

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

Find the length of LA
Triangle proportionality

Answers

Answer:

15

Step-by-step explanation:

4 x __ = 12

the blank would be 3, once you did it on one side you have to do it on the other side too

5 x 3 = 15

Another way you can do it is by...

[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]

solve for x (cross multiply)

Answer:

15

Step-by-step explanation:

CO : CL = OR : LA

* substitute the side letters with the given side lengths *

( let AL = x )

4 : 5 = 12 : x or

[tex]\frac{4}{5} =\frac{12}{x}[/tex]

now we solve for x by cross multiplying

4 * x = 4x

12 * 5 = 60

now we have 4x = 60

step 2 divide each side by 4

4x / 4 = x

60 / 4 = 15

we're left with x = 15

hence LA = 15

help me with this math question please I'm giving away brainliests​

Answers

Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $80.00, how much money is Roger saving on the shoes? A. $2.00
B. $20.00
C. $6.00
D. $60.00​

Answers

The answer is D :) hope this helps

I need help on this angles on a straight line problem, it involves algebra. I don't need an explanation just the answer please.

Answers

Answer:

m<COD = 46°

Step-by-step explanation:

All the angles are supplementary to each other, so we can combine them and set them equal to 180° to solve for x:

(3x+88)°+(x+36)°+(2x-4)°=180°

3x+88+x+36+2x-4=180

6x+120=180

6x=60

x=10

Since we know x=10, then <COD is 10+36 = 46°

Answer:

∠COD = 46°

Step-by-step explanation:

∠AOB (or straight line) = 180°

3x + 88° + x + 36° + 2x - 4° = 180°

combine like terms:

6x + 120° = 180°

subtract 120° from both sides of the equation:

6x = 60°

divide both sides by 6:

x = 10°

∠COD = 10° + 36° = 46°

The median of a data set is 100. Which statement about the data set must be true? A. The data set has an average of 100. Ов. B. Half the data values are greater than 100. O C. The minimum value is 80 and the maximum value is 120. . OD. Only one of the data points in the data set has a value of 100.​

Answers

Answer:

Step-by-step explanation:

A. The data set has an average of 100.  There's nothing to indicate this.  F

**B. Half the data values are greater than 100.  T:  Definition

C. The minimum value is 80 and the maximum value is 120.  There's nothing to indicate that this is true.  F

D. Only one of the data points in the data set has a value of 100.  There's nothing to indicate this.  F

What is the radius of a circle whose area is 36 π cm squared?

Answers

Answer: 3.39

Step-by-step explanation: maybe

What is the area of circle C when the radius is 0.4cm

Answers

i think it’s 0.5, sorry if it’s wrong

PLEASE ANSWERRR ONE OR MORE OF THE QUESTIONS, MORE OR ONLY ONE IS FINE

Answers

Answer:

b

Step-by-step explanation:

I dunno how to explain bdjwnfjrndisnf

Answer:

First problem: sorry I dont know.

Second problem: C. 384 square inches

Third Problem: B. 215 cm2

Fourth Problem: C. 60 cubic units

Hope this helps!

I need help with please​

Answers

Answer:

ask your mom or dad buddy

Step-by-step explanation:

A data set is made up of the values 6, 6, 8, 12, and 18.
The table shows the distance between each value and the mean of 10.

What is the mean absolute deviation (MAD) of the data set?

Answers

Answer: The answer would be B which is 4

Step-by-step explanation:

I took the quiz and got it right.

can someone help me pleaseeee? whoever answers first gets the brainliest

Answers

Yeah the answer is y =5

When rolling a 12-sided number cube, find the probability of
Rolling a 12.

Answers

Answer:

umm...1/12 of a chance

Step-by-step explanation:

Are you sure there isnt a graph that goes along with this?


Which representation shows y as a function of x?

Answers

Ur right it’s B you’re smart

The price of a new home is $350,000. The value of the home appreciates 2% each year. How much will the home be worth in 10 years?

Exponential function

Answers

Answer:

$420,000 would be your answer

Step-by-step explanation:

Explain what happens as the heart grows bigger.

Answers

Answer:

An enlarged left ventricle, one of the most serious types of enlarged heart, increases the risk of heart failure. In heart failure, your heart muscle weakens, and the ventricles stretch (dilate) to the point that the heart can't pump blood efficiently throughout your body.

Step-by-step explanation:

Answer:

increases the risk of heart failure

your heart muscle weakens

the heart can't pump blood efficiently throughout your body (low ejection fraction)

Type of diseases that enlarge heart: Cardiomyopathy, enlarged left ventricle

Step-by-step explanation:

HELP ILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 whole is same as 100%

1/2 a half is the same 50%

1/4 is the same as 25%

1/8 is the same as 12.5%

Answer:

1.) 50

2.)25

3.) 1/8

Step-by-step explanation:

divide everything

Which equation has these ordered pairs as solutions?
(1,7), (3,9), (5,11)

Answers

I haven’t don’t these in a while but I think it’s (3,9)

g(x) is a polynomial that has a leading coefficient of 3, and the following roots -1,1,2. Write g(x) in standard form

Answers

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

How to write the polynomial in standard form?

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

Learn more about polynomials:

https://brainly.com/question/4142886

#SPJ1

a tour bus can carry 24 people the tour bus runs 9 hours a day estimate how many passengers the tour bus carries in one month

Answers

Answer:

= 24 x 31 days ( a month) =  744 people

Step-by-step explanation:

pls mark as brainliest :-)

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