A man is in a lighthouse tower that is 65 ft. He spots a ship at sea at an angle of depression of 20°. How far is the ship from the base of the lighthouse to the nearest foot?

Answers

Answer 1
65*tan(20)=23.658 or 24
Answer 2

Answer:

24 feet

Step-by-step explanation:

distance away is x

tan(20)=x/65

65*tan(20)=x

x=23.65806... feet

round to the nearest foot

x=24


Related Questions

Solve for x
A) 3
B) 11
C) 6
D) 7

Answers

The answer for this is d

Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5

Answers

Answer: it’s a

Step-by-step explanation:

Pam went to the mall one day, below shows what she bought and how much those items cost.

2 shirts - $31.45
Jeans - $18.50
Dress - $14.95

How much money did Pam spend in all?

Answers

Answer:

$96.35

Step-by-step explanation:

31.45 x 2 = 62.90

62.90 + 18.50 + 14.95 = $96.35

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale

Answers

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

Please hePlease necassary answers I need 9 and 10

Answers

Answer:

9) 73

10) he set off at 1:55 pm

easy-Peasy

What is the slope of the line represented by the equation y=4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

slope is 4/5

y = mx + b

m = slope

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of . One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Answers

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ7

Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.

Answers

Is A,,,,,,,,,,,,,,,,,,,

Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:

Answers

Answer:

663

Step-by-step explanation:

ratio of Malay = 5

ratio of Indian= 4

ratio of Chinese= 8

Total number of Indian + Chinese= 468

Total ratio= 5+4+8= 17

Let the total number of students= X

Ratio of India= 4/17 × X=

Ratio of Chinese= 8/17 × X=

Addition of ratio of both India and Chinese=

4X/17 + 8X/17= 468

(4X +8X)/17 = 468

12X/17= 468

X= 663

Hence, total number of students is 663

What is 6% of 7500 + 5% of 7500​

Answers

Answer: It should be 825

Step-by-step explanation:

.06*7500= 450
.05*7500= 375

450+375= 725

Answer is 725

Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain

Answers

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

Permudahkan ungk
8a + 3b - 2a - b​

Answers

Answer:

answer:8a + 3b - 2a - b

=8a-2a+3b-b

=6a+2b or 2(3a+b) is your answer

I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY

Answers

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

josie is looking at buying a new phone for $800. If she does not want to pay the entire $800 she has the option of buying a phone $150 deposit and making 12 monthly payment of $75 each. If josie Chooses the payment plan what will be the percent increase on the original cost of the phone? No links

Answers

Answer:

maybe its b

Step-by-step explanation:

What is the probability of being born on a day that does not begin with the letter T?

Answers

Well there is 7 days

Monday,Tuesday,Wednesday,Thursday,Friday,Saturday,Sunday

Only two start with a t so your answer would be


5/7

For each value of y, determine whether it is a solution to 7y - 9 = -58

Answers

Answer:

The answer is -7.

Step-by-Step explanation:

Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top of the frame is 18 and one-third inches long. Each craft stick is 3 and one-third inches long.

How many craft sticks will Sam glue to the cardboard to make the top of the frame?

Answers

Answer: 5 1/2

Step-by-step explanation:

I took the test ig, but im not 100% sure

Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.

2( − 4) = 10 − 8 − 8

A
unique solution

B
no solution

C
infinite solutions

Answers

The answer is in the question

I am completely lost someone help!:)

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

2. the sum of x and 9

Answers

Answer:

x + 9

Step-by-step explanation:

The sum of x and 9,

x + 9

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

Can someone help me pls

Answers

the answer would have to be no since they are edges

Image attached. Thank you

Answers

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Find the coordinates of the 4th vertex d

Answers

Answer:

I think its b

Step-by-step explanation:

Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP

Answers

Answer:

48 cm²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h

Area = (8 + 16)/2 x 4

Area = 24/2 x 4

Area = 12 x 4

Area = 48 cm²

find x

help please, asap.

Answers

Answer: x = 110 degrees

Step-by-step explanation:

35 and its vertical angle inside the triangle both = 35 deg

43 and 32 add to 75 deg

The total degree measure inside a triangle is 180

180-75-35 = 70 deg

70 degrees is the supplementary angle of x

180-70 = x

x = 110 degrees

2 1/6* 2 5/6 IN SIMPLEST FORM

Answers

Answer:

6 5/36

Step-by-step explanation:

MARK ME BRAINLIEST?

(x^2)+8x+12=0

i need help with this one

Answers

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

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