A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?

Answers

Answer 1

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees


Related Questions

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x​

Answers

i pray for you i hated this section and i wish i could help you:( the app photo math helped me!

On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F

Answers

Answer:

(A) -9 °F

Step-by-step explanation:

On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill

temperature only reached¼ of Sunday's wind chill temperature. What was the

lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F

Sunday temperature = - 36 °F

Monday temperature = ¼ of Sunday's wind chill temperature

Monday = 1/4 of - 36 °F

= 1/4 * -36 °F

= (1 * -36)/4 °F

= -36/4 °F

= -9 °F

Monday temperature = -9 °F

The correct answer is (A) -9 °F

3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)

Answers

I think the answer is 90

A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.

Answers

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

please help i have an exam next week and im really stuck on this

Answers

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

seth put $500 in his savings account, which earns a earns a simple interest rate of 4%

A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years

Someone help me out :)

Answers

Answer:  sorry i dont know this

Step-by-step explanation:

If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours

Answers

Answer:

64 times

Step-by-step explanation:

There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.

Answer and Step-by-step explanation:

We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.

1 : 15

We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.

15 × 4 = 60

We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.

1 × 4 = 4

Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1.    4 : 1

Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.

4 × 16 = 64

1 × 16 = 16

So, we have the ratio 64 : 16

This means that the person smokes 64 times in the 16 hours.

#teamtrees #PAW (Plant And Water)

Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)

Answers

2x+4(2x+7)+3(2x+4)
2x+8x+28+6x+12
16x+40

16x+40 would be the answer you can’t solve it any further

Answer:

merhabalar !

HAVE A NİCE DAY

Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Answer:

Secθ = 11 / 9.22 or sec33°

Sinθ = 6 / 11 or Sin33°

Tanθ = 6 / 9.22 or Tan33°

θ = 33°

Step-by-step explanation:

Given:

Hypotenuse = 11 unit

Perpendicular = 6 unit

Find:

Secθ

Sinθ

Tanθ

Computation:

Base = √Hypotenuse² - Perpendicular²

Base = √11² - 6²

Base = √121 - 36

Base = √85

Base = 9.22 unit (Approx.)

Secθ = Hypotenuse / Base

Secθ = 11 / 9.22 or sec33°

Sinθ = Perpendicular / Hypotenuse

Sinθ = 6 / 11 or Sin33°

Tanθ = Perpendicular / Base

Tanθ = 6 / 9.22 or Tan33°

So value of θ = 33°

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

pleaseeeeee helppppppppp

Answers

Answer:

Supplement = 4°

other angle = 176°

Step-by-step explanation:

44x + x = 180°

45x = 180°

x = 4

Since the supplement = x

and we now that x = 4

The supplement = 4°

180° - 4° = 44(4)

176°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How how how how how how answers plz

Answers

9514 1404 393

Answer:

  a) 540°

  b) 720°

  c) 900°

  d) 1440°

Step-by-step explanation:

The total measure of internal angles of a convex polygon is given by the formula ...

  sum of angles = 180°(n -2) . . . . for an n-sided polygon

So, you count the sides, subtract 2, and multiply that result by 180°.

__

a) 180°(5 -2) = 540°

b) 180°(6 -2) = 720°

c) 180°(7 -2) = 900°

d) 180°(10 -2) = 1440°

PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE


You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.


Determine whether the sample is biased or unbiased.

Answers

Answer:

BRO I HAVE THE SAME QUESTION FOR MY TEST....

ITS BIASED IM REALLLLY SURE

Step-by-step explanation:

which expression is equivalent to 6x*3 + 3y*2 - 5x*3 + 2y*2

Answers

Answer:

3x + 10y

Step-by-step explanation:

Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y

Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y

Solution: 3x + 10y



1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text

Answers

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

hey! please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Find (-5) when f(x) = x^2 + 2x + 5

Answers

Answer:

Value of F(x) when x = -5 is 20

Step-by-step explanation:

Given equation;

f(x) = x² + 2x + 5

f(x) = f(-5)

Find:

Value of F(x) when x = -5

Computation:

Given function;

f(x) = x² + 2x + 5

By putting value of x in given function

f(-5) = (-5)² + 2(-5) + 5

f(-5) = (-5 x -5) + 2(-5) + 5

f(-5) = (25) - 10 + 5

f(-5) = (25) - 5

f(-5) = 20

Value of F(x) when x = -5 is 20

a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe​

Answers

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.

Answers

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Which of the following choices is NOT one of the six tenses of verbs?

past participle
future perfect
future
present perfect

Answers

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

Why did the robber take a bath

Answers

Answer:

To make a "clean getaway"

Step-by-step explanation:

haha, nice one :D

which elevation is higher 8 feet below sea level or 13 feet below sea level

Answers

Answer: 8 feet below sea level is higher

Step-by-step explanation:

8 feet below see level because it would be counted as a negative which is higher then /it’s closer to 0

Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help

Answers

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

The diameter of a foot ball is 12cm ?find itsvolume​

Answers

Answer:

288 [tex]\pi[/tex] cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³

= 4/ 3 × [tex]\pi[/tex] × 216

= ( 864 [tex]\pi[/tex])/ 3

= 288 [tex]\pi[/tex] cm³

PLS HELP LOLZ <33

tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year

Answers

Answer: tasha's investment will be worth $1,440

Step-by-step explanation:

4%= 4/100= 0.04

PRT=6,000*0.04*6= $1,440

PLEASE HELPPPP I NEED THIS FASTTTTT

Answers

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!

Answers

C. X=70

Consecutive angles are supplementary (add to 180)

70+ x + 40 = 180

110 + x = 180

X = 70

The value of x that makes ABCD a parallelogram is C. x = 70°.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

To learn more about Parallelograms, click here :

https://brainly.com/question/11220936

#SPJ7

A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.

Answers

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

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