Mathematics High School



A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base

of the cliff directly towards the buoy. The top of the cliff is 142 m above sea level. The angle of depression

from the top of the cliff to the buoy is 40 degrees.

Answers

Answer 1

Answer:

169.23m

Step-by-step explanation:.

Let's calculate the base of the cliff. Using SOH CAH TOA identity

Height (opposite) = 142n

Angle of depression = 40°

Required

Base of the cliff

Tan theta = opposite/adjacent

Tan 40 = 142/x

x = 142/tan40

x = 142/0.8391

x = 169.23m

Hence the base of the cliff is 169.23m long

Related Questions

Hiiioo could someone please help me please ❤️if not that’s otay tooo

Answers

Answer:

3

Step-by-step explanation:

                                      3

roots: −1.5+2.59807621i, −1.5−2.59807621i

it's a perfect cube

cube root of 27 is 3

plz help me math doesnt like me

Answers

Answer:

hello

Step-by-step explanation:

i think diameter is 13 cm

but radius is equal to 13/2=6,5cm

hope it helps

have a nice day

bye

if you can answer this riddle then I will buy you a fiddle...... sorry I promise I won't be a rhymester when I grow up. ANYWAYS i have a picture below.

Answers

Answer:

I say its 5

Step-by-step explanation:

I guessed so who knows besides you.


Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks

Answers

Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

Given the points below, find XY. Round to
the nearest hundredth.
X(-9, 2) and Y(5,-4)
XY =

Answers

Answer:

15.23

Step-by-step explanation:

Select ALL the correct answers.
Which of these numbers are greater than 3.2 × 10-3?
2.1 × 10-3
4.2 × 10-4
5.2 × 10-2
5.2 × 10-1

Answers

5.2 x 10-2 and 5.2 x 10-1

Answer:5.2 x 10-1

Step-by-step explanation:hope i could help ;)

HELPPPPPPPPPPPPPPP!! I WILL MARK YOU THE BRAINLIEST!!!! PLEASE IM REALLY STRUGGLING.

Answers

Answer:

b

Step-by-step explanation:

A local diner uses 4 2/3 pounds of meat to make five hamburgers. How much meat is used to make one hamburger?

Answers

Answer:14/15 pounds of meat

Step-by-step explanation:

SO, 4 2/3=14/35 HAMBURGERS ARE MADE BY USING 14/3 POUNDS OF MEAT1 HAMBURGER IS MADE BY USING 14/3×1/5 OR,14/15 POUNDS OF MEAT.BASICALLY THE ANSWER IS:14/15 pounds of meat is used to make one hamburger.

What is 81 = 3x

plz help will give phone number and brainlest

Answers

Answer:

x= 27

Step-by-step explanation:

81=3x

divide by 3

x= 27

Answer:

x = 27

Step-by-step explanation:

hopefully that is the answer

Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water

Answers

Answer:

B. Oxygen

Hope you got your answer! ☺️

The reactant not needed for producing food in a green plant is

Oxygen.

Option B is the correct answer.

What are reactants?

Reactants are the elements in a process of production that helps in the process of production.

We have,

The process of producing food in a green plant are:

Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.

This process is called photosynthesis.

Oxygen is the waste product released during this process.

Thus,

Oxygen is not a reactant needed for producing food in a green plant.

Learn more about reactants in plants here:

https://brainly.com/question/16419464

#SPJ6

WILL GIVE BRAINLIESTTT

Answers

Answer: ALL CREDIT TO THE GUY BELOW IT'S C

Sp-by-step explanation:

Answer:

k=0.12

Step-by-step explanation:

110,)1111110
[tex]100 \div 1111110[/tex]
​

Answers

Answer:

9.000009000009

Step-by-step explanation:

h

9.0000009000000
Exaplanation

If mABD = 28° and mDBC = 134°, find mABC.

Answers

Answer:

∠ABC = 162

Step-by-step explanation:

Since you have ∠ABD and ∠DBC, add the two angles to find ∠ABC.

28 + 134 = 162

The answer to your question is 162!

Need help ASAP please HELP HELP HELPPPPP

Answers

Answer:

Step-by-step explanation:

Answer:

help i help you

Step-by-step explanation:

where are the ansewrs at

I NEED HELP WITH THIS FAST

Answers

Answer:

Option D my dude

Step-by-step explanation:

it make sense

The answer is option three

24 (1 point)
ASQR is similar to ASPT. Which choice below lists two corresponding sides?
a
b
PS and RS
TP and RQ
SP and SR
QS and PT
c
d
>
Next Page
Back

Answers

Answer:

Step-by-step explanation:

Answer: tp and rq

Step-by-step explanation:

Peter and Jane have some money in the ratio 1:3
Jane has £12 more than Peter how much money does Peter have?

Answers

Peter=x
Jane=3x
3x-x=12
X=6

Answer:

Peter has 6 dollars.

Step-by-step explanation:

The ratio is 1:3, meaning Jane has 3x more money than Peter. Or, Peter has 1/3 as much money as Jane. You know that Jane has 12 dollars more than Peter so you can think of scenarios. Because it is a 1/3 the answer for Peters money has to be 1/3 of Janes, so Peter has 6 dollars, and Jane has 12 more, so Jane has 18 dollars.

Mother mixed cream and milk in the ratio of 2 parts cream to 3 parts milk. How many cups of each are needed to have 80 cups of mixture?​

Answers

Answer:

Cream = 32 cups

Milk = 48 cups

Step-by-step explanation:

Here, we want to share the ratio

The ratio here is 2:3

cream: milk

For cream;

2/5 * 80 = 32 cups

For milk;

3/5 * 80 = 48 cups

NEED HELP ASAP 60 POINTS!!!!!!!​

Answers

Answer:

Quintic monomial - zym^2

Quintic polynomial - 2x^5 + 8x^4 - 6x^2 +5x...

Quartic trinomial  - 2x^4 -  5y +2

Quadratic trinomial - z+xy-1

I hope im right!!

PLS HELP WILL MARK BRAINLIST

Answers

Answer:

T=39.46

Step-by-step explanation:

13(t+13)=676

multiply 13 by t and by 13

then you will have 13t + 169=676

isolate the variable

13t + 169= 676

substract 169 from both sides

13=507 divided both side by 13

T=39

math work pls help :)​

Answers

Answer:

SAS because there is only one angle but there are two sides

How many four-digit numbers can be made from the numerals 7, 6, 5, and 3?

24
4
12

Answers

Answer:

12 different four digit numbers

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

permutations! order required

P(4,4) = [tex]\frac{4!}{(4-4)!} = \frac{4!}{0!} = \frac{24}{1}[/tex]


Please help- help me

Answers

Answer:

first option

Step-by-step explanation:

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!

Answers

Answer:

51x^5 y^3 z^6

Step-by-step explanation:

(-3×^2 y^3 z^2) × (-17 × ^3 z^4)

3x^2 y^3 z^2 × 17×^3 z^4

51x^5 y^3 z^6

tan(A+B)=tanA+tanB/1—tanAtanB​

Answers

The question is not correct.

PLZ PLZ PLZ ANSWER THIS!!!!

Answers

Answer:

a.

Step-by-step explanation:

girls 60/50

boys 40/50

40/50 is 10

Find the midpoint of these 2 points

Answers

Answer:

(3.9,4.45)

Hope this helps.

help me with this, please!!!

Answers

Answer:

17 is already a simplest form so you can do a decemil form 0.17

Step-by-step explanation:

Answer:

10.68 miles

Step-by-step explanation:

17 mile radius = 34 mile diameter

34 mile diameter x 3.14 = circumference = 106.82 miles

Pi/5 radians = 36 degrees

36(106.82)/360 = 10.68 miles

I YOU GET THE ANSWER RIGHT i'll MARK YOU THE BRAINLIEST AND GIVE YOU ADDITIONAL POINTS


You are building a triangular corner shelf for a customer. The shelf has an area of 6 square feet. The height of the shelf is 3 feet. What formula can be used to calculate the length of the base of the shelf?

base = height ÷ area
base = (2 × height) ÷ area
base = area ÷ height
base = (2 × area) ÷ height

Answers

The fourth choice, bottom one. You have to use algebra to manipulate the equation.

l=prt
you have to solve for t

Answers

Answer:

T is equal to I divided by pr. [tex]t=\frac{I}{pr}[/tex]

Step-by-step explanation:

This is the equation for interest.

I is interest.

P is the principal

r is the interest rate

t is the time in years

you have to isolate for t.

Because multiply p times r times t, divide both sides by pr due to the fact that division is the inverse operation of multiplication

Then you are left with t= i divided by pr.

hope this helps

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