Carlos observes a ship from a cliff. The ship is 1.3 km away from the bottom of
the cliff. Given that the height of the cliff is 150m, find the angle of depression of
the ship.

Answers

Answer 1

Answer:

49° approx.

Step-by-step explanation:

Step one:

given

The distance of the ship from the base= 1.3km

Height of the cliff= 150m= 1.5km

Step two:

Required

angle of depression

Applying SOH CAH TOA

The opposite is to the angle of depression is the height which is 1.5km

The distance of the ship from the foot of the cliff is the adjacent  which is 1.3km

Tan ∅=Opp/Adj

Tan ∅=1.5/1.3

∅=Tan-1 1.5/1.3

∅=Tan-1 1.153

∅=49.06

49° approx.


Related Questions

2. Over five years, Jerome grew from a height of 47 inches to a height of 66 inches. Which of
the following represents Jerome's growth rate during these five years?

(1) 3.8 inches per year
(2) 4.25 inches per year
(3) 4.6 inches per year
(4) 4.75 inches per year

(quick pls)

Answers

Answer:

answer is 3.8 inches per year

Can someone
help me solve this plz

Answers

J, using the process of elimination each point corresponds to 1 or 2, however the last set of points has a ratio of 10:11 which is not =

I will give brainliest if someone can solve! Please help.

Answers

The answer is very blurry I can’t see it

4x -2y = 2
2x +2y = 16

Answers

Answer:

x = 3

y = 5

Step-by-step explanation:

we can add these equations together

4x - 2y +2x + 2y = 18

6x = 18

x = 3

to find y

6 + 2y = 16

2y = 10

y = 5

What is the slope of the line represented by the equation f(t)=2t−6?

a
The slope is −6 and the y-intercept is 2.
b
The slope is 2 and the y-intercept is −6.
c
The slope is 2 and the y-intercept is 6.
d
The slope is 6 and the y-intercept is 2.

Answers

the equations is B:)

Answer:

b

Step-by-step explanation:

y=mx+b

m is slope. b is y intercept

please help me please help me please help me please help me please help me please help me please help me ​

Answers

Answer:

See below

Step-by-step explanation:

A > [tex]Sin^{2} x + cos^{2} x = 1 \\[/tex]

Divide both side by sin^2 x , and we get

[tex]\frac{sin^2 x}{sin^2 x} + \frac{cos^2 x}{ sin^2 x} = \frac{1}{sin^2 x}[/tex]

[tex]1+ cot^2 x= cosec^2 x[/tex]

Subtracting cosec^2 x from both sides we get

[tex]Cosec^2 x - cot^2 x = 1[/tex]

B>lets break tan θ into its components tan θ = sin θ / cos θ and cot θ = 1/ tan θ

Tan θ + cot θ=  Sin θ/cos θ + cos θ/ sin θ =  sin^2 θ + cos^2 θ  / sin θ cos θ= 1/ sin θ cos θ = sec θ cosec θ

Answer:

Step-by-step explanation:

A >

Divide both side by sin^2 x , and we get

Subtracting cosec^2 x from both sides we get

B>lets break tan θ into its components tan θ = sin θ / cos θ and cot θ = 1/ tan θ

Tan θ + cot θ=  Sin θ/cos θ + cos θ/ sin θ =  sin^2 θ + cos^2 θ  / sin θ cos θ= 1/ sin θ cos θ = sec θ cosec θ

Kermit flipped a coin 20 times. The coin landed on tails six times. Which best describes what would likely happen if Kermit flipped the coin another 80 times?

Answers

Answer:

24 of those times would be tails.

Step-by-step explanation:

Because if you flip it 20 times and it lands on tails 6 times, you just have to add 20+20 6+6 so then it's 40 flips and 12 tails. 60 times and 18 tails 8p times and 24 tails.

True or false:

A. All parallelograms are quadrilaterals. Why?

B. All squares are rhombuses. Why?

pls help fast ​

Answers

Answer:A. True, cause they have four sides

B. True cause if you turn them a little they look like a square

Step-by-step explanation:

Helpppppp pleaseeee !!!!

Answers

The answer is Y = -1/2x + 60

solve 70=-2.5x (one-step equation) what is this answer?

Answers

Answer:

Step by step and hope this helps

70=−2.5x

Step 1: Flip the equation.

−2.5x=70

Step 2: Divide both sides by -2.5.

−2.5x−2.5=70−2.5

x=−28

Please explain how to do it
2r +9r + 10 = 0

Answers

Answer:

[tex]r= -\frac{10}{11}[/tex]

Step-by-step explanation:

[tex]2r+9r+10=0\\[/tex]

combine 2r and 9r

[tex]11r+10=0[/tex]

subtract 10 on both sides

[tex]11r=-10[/tex]

[tex]r= -\frac{10}{11}[/tex]

The ratio of the measures of the sides of a triangle is 21:8:14. The perimeter is 215 feet, find the length of each side

Answers

21 - 45.15
14 - 30.1
8 - 17.2

how can you find a common denominator for 1/3 and 1/5

Answers

Answer:

15

Step-by-step explanation:

What is the length of the shortest side if the perimeter of the rectangle is 56 inches?

Answers

Answer: Length of Shortest Side = 12 inches

Step-by-step explanation: Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

There are 42 dogs at the local shelter. Which equation can be used to determine how many dogs the shelter can provide for if it is currently at 60% capacity?

Answers

Answer:

D

Step-by-step explanation:

Answer:

60/100=42/*

Step-by-step explanation:

In the triangle below, which is equivalent to sinA?
А
B
С
O sinc
O sinB
O cosA
O cosC

Answers

Answer:

cosC

Step-by-step explanation:

Answer:

D) cosC

Step-by-step explanation:

Which Property of Addition is used in the following expressions, (7 + 9) + 5 = 7 + (9 + 5)?

a. Distributive Property
b. Associative Property
c. Commutative Property
d. Identity Property​

Answers

Answer:

associative property

The answer I got was Associative property

pls help me, i have 7 minutes
Mike opened a savings account with an inital deposit of $500 & will save $10 per week. Pete opened a savings account with an inital deposit of $200 & will save $40 per week. How many weeks will it take for them to have the same amount?

Answers

Answer:

It will take Mike 50 weeks and it will take Pete 5 weeks

Step-by-step explanation:

Mike:500/10= 50

Pete: 200/40= 5

Helppppp due in 5 minutes pls help this is a test witch is worth half of my grade

Answers

Answer:

Anaphase!!!

Step-by-step explanation:

Find the equation of the lines that passes through the point (4, -3) and has a
slope of -2. *
O y = -2x + 10
O y = -2x-11
O y = -2x +5
O y = -2x - 2

Answers

-2x - 2

Step-by-step explanation:

you would just have to plug in the 4 and -3 into the equation.

Solve for x:
7x + 5 + x - 3 + x = 5

Answers

Answer:

x=1/3

Step-by-step explanation:

9x+5-3=5

9x=3

x=1/3

Answer:

x=1/3

Step-by-step explanation:

7x + 5 + x - 3 + x = 5

     -5                    -5         (rewrite)

7x + x - 3 + x = 0

  7x + x + x = 9x                (collect like terms) (rewrite)

9x - 3 = 0

9x = 3

(divide both sides by 9)

x= 1/3

i think this is the answer

Need the answer asap

Answers

Answer:

3.2

Step-by-step explanation:

The y-coordinate of the midpoint of a segment can be found by adding any two y-coordinates on the segment and dividing by two. True or False??

Answers

Answer:

This would be true. in order to find the mid-point of any two given points you have to add both x and y coordinates and divide by two.

Is the fraction 0/3 the same as 3 or 0?

Answers

Answer:

0

Step-by-step explanation:

Please solve its due tonight!

Answers

Step-by-step explanation:

1. No, Yes

2. No, Yes

3. 6x^2+10

4. 2x^2-3

5.x^2+x

6.-2x^4+11x+3

7. 3x^3+15x^2+20

8. -9x^3+4x^2+8x

9. xy+2x+6y+5

10. 8xy-y^2x

Sorry if i messed up on some by misreading.

slope for (-5,5) (5,-5)​

Answers

Answer:

Slope(m)=-1

Step-by-step explanation:

slope = -1 .. hope this helps a lot ;) mark me brainliest

NEED HELP ASAP GIVING BRANILEST


The ratio of North American Butterflies to South American butterflies at a butterfly park is 6:5. The ratio of South American butterflies to European butterflies is 5:2. There are 60 North American butterflies at the butterfly park.

Part 1 out of 2 How many South American butterflies are there? There are _____ South American butterflies.

Answers

Answer:

50?

Step-by-step explanation:

I said 50 because there were 60 na butterflies so there was probably 50.

I am sorry if this wrong tho

There are 50 South American butterflies

Form a polynomial in factored and standard from that has a degree of 3 and zeros: 2 - i, and
1.

Answers

Answer:

(x - 2 + i)(x - 2 - i)(x - 1)x^3 -5x^2 + 9x - 5

Step-by-step explanation:

In order to have rational polynomial, it has to have 2 + i as third zero.

Polynomial in factored form:

(x - (2 - i))(x - (2 + i))(x - 1) =(x - 2 + i)(x - 2 - i)(x - 1)

Polynomial in standard form:

(x^2 - 2x - ix - 2x + 4 +2i + ix - 2i -i^2)(x - 1) =(x^2 - 4x + 4 + 1)(x - 1) =(x^2 - 4x + 5)(x - 1) =x^3 - x^2 - 4x^2 + 4x + 5x - 5 =x^3 -5x^2 + 9x - 5

Write the following linear function in slope intercept form.

question 4
Group of answer choices
y=-x+3
y=-5x-16
y=-3x+1
y=3x-1

Answers

Answer:

Y=mx+5

Step-by-step explanation:

Y+m

y×x

mx-10

=5

y=mx+5

If h(x)=|5x−17|, the value of h(3) is

Answers

h(3) = |5(3)-17|

h(3) = |15-17|

h(3) = |-2|

h(3) = 2          ---- | - a | = | a |   -----------

Answer:

h(3)=2

Step-by-step explanation:

h(x)=l5x-17l

h(3)=l5(3)-17l

h(3)=l15-17l

h(3)=l-2l

h(3)=2

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