From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?

Answers

Answer 1

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)


Related Questions

A population of 2500 frogs increases exponentially at an annual rate of 25%. Which equation below best represents the population (P) in t years?

P=2500(0.25)^t

P=2500+0.25t

P=2500(0.75)^t

P=2500(1+0.25)^t

Answers

Answer:

P=2500(1+0.25)

Step-by-step explanation:

Given  data

Initial population= 2500

Rate= 25%

The exponential increase is described using the expression

P=A(1+r)^t

Hence the correct representation is

P=2500(1+0.25)

Tickets to the fair costs $5 and each ride costs $0.75. If Jacob wants to spend no more than
$18 at the fair, how many rides can he ride?

Answers

Answer:He can ride 17 rides

Step-by-step explanation:

18-5= 13

13 / 0.75 =17.333333333

You have to round down which would give you 17

Please tell me how to figure it out thanks

Answers

Answer:

A - 4? (Don’t quote me)

Explanation:

It says the tank needs to be quadrupled, and quadrupled means by 4.

7. After a discount of 30%, you pay $49.00 for a video game. What was the original price of the game?

Answers

Answer:

$70.00

Step-by-step explanation:

Percentage of original price paid

= 100% -30%

= 70%

70% of original price ----- $49.00

1% of original price ----- $49.00 ÷70= $0.70

100% of original price ----- $0.70 ×100= $70.00

which number is composite 5,9,2,11

Answers

Answer:

9

Step-by-step explanation:

To be a composite number, it has to be divisible by something other than 1 and itself.

5, 2, and 11 are all prime numbers, meaning their only factors are 1 and itself.

9 is composite, as it can be multiplied by 1•9 OR 3•3. Since it can be multiplied by something other than 1 and itself (aka the 3 is a factor) is is composite.

Step-by-step explanation:

9 is the composite number

One game had an attendance of 25,000 visitors. Based on the table, how many people out of 25,000 could be expected to buy a flag?

A.
1,375

B.
1,650

C.
3,850

D.
2,750

Answers

The answer is D i’m sure

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

Learn more about expressions here:

https://brainly.com/question/17121675

#SPJ2

The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

long division method​

Answers

Answer: you didnt add a question or possible answer choices so nobody can answer this question

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

The price of a sweater was reduced from $20 to $12. By what percentate was the price of the sweater reduced?

Answers

The price of the sweater was reduced by 40%.
The answer is 40%. Hope this helps

Los hombres adultos tienen alturas con una media de 69.0 pulgadas y una desviación estándar de 2.8 pulgadas. Encuentre la puntuación z de un hombre de 70.3 pulgadas de alto. (Redondee la respuesta con 4 decimales)

Answers

Answer:

0.4643

Step-by-step explanation:

z = (x-μ) / σ, donde

x es la puntuación bruta = 70.3 pulgadas

μ es la media de la población = 69 pulgadas

σ es la desviación estándar de la población = 2.8 pulgadas

z = (70.3 - 69) /2.8

z = 0.46429

Aproximadamente a 4 lugares decimales = 0.4643

What is the slope of the line?

Answers

Answer:

slope = 3

Step-by-step explanation:

Up 3 over 1, on the grid so,

3/1 = 3

simply 7/4 squared ​

Answers

Answer:

0.4375

Step-by-step explanation:

The answer to your question is 49/16

What single percentage change is equivalent to a 8% decrease followed by a 13% increase?

Answers

Answer:

5% increase

Step-by-step explanation:

-8% + 13% = 5%

Answer:

the answer is 5 increase

Step-by-step explanation:

help em out pls and ill give brainliest

Answers

Answer:

- 10/5 = -2

- 1.25 = Box next to -2

0.75 = 2nd box facing the right

-0.5 = Box next to -1.25

3/2 = Last box facing the right

Answer:

-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.

Step-by-step explanation:

which choice is equivalent to 6.25% ?

a) 6.25

b) .625

c) 0.0625

d) 0.00625​

Answers

.625 to find the decimal of a percentage divide by 100

What is the measure of ?
Angles are not necessarily drawn to scale,
B
68
70°
D
A
С

Answers

Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

Quick plzzz help me on this due tonight
I get help on all question I will give u the brainlyest thing
!!!!!

Answers

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

Quadrilateral PQRS is a rectangle.

Find the measure of _PTQ.

Answers

Answer:

∠PTQ = 124°

Step-by-step explanation:

∠QPT = 90° - 62° = 28°

∠PQT = 28°

∠PTQ = 180° - 28° - 28° = 124°

what expression is equivalent to -10x + 5
a. -5x
b. -15x
c. 10x -5
d. 5-10x
e. -5 - 10x

Answers

Answer:

-5x

Step-by-step explanation:

-10+5= -5 then you put -5 with x to get -5x

PLEASE HELPPPPPP URGENT

Answers

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

Please help no links

Answers

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

Heather puts together 25 of a puzzle on Saturday and 310 on Sunday. Nicole has the same puzzle, and she puts together 45 of her puzzle. How much more of the puzzle does Nicole put together than Heather? A. 110 B. 310 C. 15 D. 45

Answers

Answer:

1/10

Step-by-step explanation:

Here is the correct answer

Heather puts together 2/5 of a puzzle on Saturday and 3/10 on Sunday. Nicole has the same puzzle, and she puts together 4/5 of her puzzle.How much more of the puzzle does Nicole put together than Heather? A. 1/10 b. 3/10 c. 1/5 d 4/5

total puzzle heather put together =

[tex]\frac{2}{5} + \frac{3}{10}[/tex]

[tex]\frac{4 + 3}{10}[/tex] = 7/10

the next step is to subtract 7/10 from the fraction Nicole put together

[tex]\frac{4}{5} - \frac{7}{10}[/tex]

[tex]\frac{8-7}{10}[/tex] = 1/10

This table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix. Enter the number of grams of peanuts in a bag for every 1 gram of raisins

Answers

Answer:

3.5

Step-by-step explanation:

Hope this helps!

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

14 g of peanut = 4 gram of raisins

Hence:

1 gram of raisin = (14/4) = 3.5 gram of peanuts

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

Find out more on equation at: https://brainly.com/question/2972832

What is the surface area of this triangular pyramid?




8 in

8 in

8 in

5 in

6.9 in


square inches

pls help out

Answers

Answer:

Step-by-step explanation:

Hence, the surface area of a triangular pyramid is 140 square units.

Plz help asap with explanation and will get the brilliant

Answers

Answer:

No solution

Step-by-step explanation:

No possible values could add up to these values. If you solve the system of equations. You will get 0 = 10, meaning its impossible.

HELPPPPPPPpppppppppp

Answers

Answer:

AB = 130°

Step-by-step explanation:

The inscribed angle 65° is half the measure of its intercepted arc, then

arc AB = 2 × 65° = 130°

Your answer would be AB = 130, hoped this helped! (:

Graph the function.f(x) = 3/8 (x−1)(x−9)

Answers

Answer:

Step-by-step explanation:

hi please help i’ll give brainliest

Answers

b) new moon

i’m not sure the explanation but i learned ab this before

Answer:

A solar eclipse is possible during a new moon.

Hey guys... anybody got tips for this one?

Answers

Answer:

the answer is A i think

Step-by-step explanation:

Fill in the blan
points
Given: ABCD is a parallelogram.
Prove: AABD ACDB.
A
D
Statements
Reasons
1. ABCD is a parallelogram.
1.
Given
2.4A 24C
2.
????

Answers

Answer:

Screenshot the answer choices I don't remember them right off rip

Step-by-step explanation:

Given the ratio 12:4,create three more ratios that are proportional to the given ratio. Explain your thinking and how you got your answer.

Answers

6:2 and 24:8 Because they are only multiplied and divided so they are basically the same number
Other Questions
EEGs, or electroencephalograms, are often conducted to diagnose epilepsy. The word electroencephalogram means HELP PLEASE!! ILL GIVE BRAINLIEST The symbol for high pressure is a circle withA. nothing inside it.B. the letter L inside it. C. the letter H inside it. Solve for a. -4a - 2a 7 = 11 a = [?] Why is it important for a teacher to know the nature and essence of assessment? each drop-down menu.Complete the sentences related to activities performed in the transform step when moving data into a data warehouse._______ involves dividing a single column into multiple columns. ____involves checking the data for correctness.first drop down " splitting , cutting , deleting"second drop down "validation , information , filtering What is the square root of 6 - the square root of 12?Please answer fast! Range the temperature from lowest to highestFor points!!! A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is Simplify the expression: (in the image attached) Which muscle is highlighted below? Underground Explorers by Aaron Derr central idea Use details from the text to describe three symptoms that indicated a patient had yellow fever.HELP NOW PLEASE!!! Is this birdA. FeedingB. Photosynthesizing C. DigestingD. Respiring Please help ! fast .. What effect do passive voice verbs have on writing?1. They make writing more interesting.2. They make writing more direct.3. They make writing wordier.4. They make writing more effective. How did new technologies impact the nature of warfare and affect the course and outcome of the war? Completing the square Acellus please help! x^2 + 10x -y + 15 = 0 Thank you!! Find the slope of the line that passes through (0,-2) and (4,-3) Solve 24 =y +17.5 y=