The angle of depression from the top of a cliff to a
nearby town is 12 degrees. If the top of the cliff is
277 feet above the town, how far is the town from
the base of the cliff?
Round your answer to the nearest tenth of a foot

Answers

Answer 1

Answer:

Step-by-step explanation:

d = 277/tan12 = 1,303.1825... m = 1.3 km

Answer 2

The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.

The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).

Let's denote the distance from the town to the base of the cliff as "d."

The tangent of the angle of depression is given by:

tan(12°) = opposite / adjacent

tan(12°) = 277 / d

Now, solve for "d":

d = 277 / tan(12°)

Using a calculator:

d ≈ 1337.25 feet

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Related Questions

is 0.667 elastic or inelastic?​

Answers

Answer:

inelastic is the answer

keep safe

There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 iPads. How many iPads were donated to Fun Elementary?

Answers

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

Use the distributive property to write an expression equivalent to 7(48).



Drag and drop the appropriate number into each box.

Answers

Answer:

336

Step-by-step explanation:

7x48=

7(8)= 56

7(4)+5= 33

7(48) = 336

Answer:

336

Step-by-step explanation:

I need help with number 5 please

Answers

Answer:

-4[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I hope this helps!

Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).

Answers

Step-by-step explanation:

(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me

Answer:

Step-by-step explanation:

this equals 0.03

If a shirt cost $60 is on sale for 50% off and you have another offer that gives you an additional 20% off the sale price does that mean you get a total of 70% off show your work to justify your answer

Answers

Answer:

No

Step-by-step explanation:

50 % off $60 =$30

20% off $30 =$6

But 70% =42

Therefore it's not the same as 70%

A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?

y - 1 = -4 (x + 2)

y - 4 = -2 (x - 1)

y - 1 = 4 (x - 2)

y - 2 = -4 (x - 1)​

Answers

Answer:

the answer is A

I followed the point slope formula and added in the x and y values

Thanksgiving Meal Challenge

Considering the final price of the meal, would you rather have a $25 gift

card to apply toward to total price or a 35% off coupon? Show your work

and explain.

Answers

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Let y represent the price of the meal.

For a $25 gift card to be applied, the final price is:

Final price = y - 25

For a 35% off coupon, the final price is:

Final price = y - 0.35y = 0.65y

y - 25 < 0.65y

0.35y < 25

y < 71.42

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

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2 dived by 49 with a remainder

Answers

Answer:

The answer is 24 with remainder of 1

Step-by-step explanation:

First, solve the problem by seeing what number gives you 4 when multiplied by 2. That would be 2 (2x2=4)

you subtract 4 by 4 to get zero and bring down the nine

Then you see which number would get you close to nine without overlapping when multiplied by two. That would be 4 (2x4=8)

your answer would be 24 then you subtract 9 by 8 to get a remainder of 1

Riley would like to buy a house that is selling for $330,000. The loan requires a 20% down payment. He currently has $5,300 saved, how much more money does Riley need to save for the down payment?

Answers

Answer: 1060

Step-by-step explanation:

Solve this problem and show the steps with check steps confirming answer is correct.
4x-7=2x+15

Answers

Answer: X=11

Step-by-step explanation:

Add 7 to both sides of the equation     4x-7=2x+15

4x-7+7=2x+15+7

Simplify

Add the numbers :4x -7 + 7 = 2 x + 15 + 7

Add the numbers:4 x = 2x + 15+7

down

4x=2x+22

Subtract

2 2 x 2 x from both sides of the equation

4 x = 2x +22   4x - 2x = 2x +22- 2x

Simplify

2x = 2x +22-2x

Divide both sides of the equation by the same term

2x = 22 2x/ = 22/2 x =22/2x =22/2  x=11

7433654 round to the nearest thousand

Answers

Answer:

Already rounded to the nearest thousandth.

7433654.000

if AB=12 cm and BC =13 cm then AC = 25 cm

Answers

Answer:

AB=12

Hope this helps!

What is the quotient of -9 Divided by 3 ?

Answers

The answer to this problem is

-9 divided by 3

Is -3

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]

[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]

[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

pls help fastttttttttttttttttttttttttt

Answers

Answer:

y = 5 x + 7

Step-by-step explanation:

whats the answer can someone answer please​

Answers

Answer:

21. 2x + 28

22. 18a - 17b

23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.

24. 8.8888888888889 × 10^{0}

Step-by-step explanation:

PLZZZZ HELP BRAINLYEST AND 100 POINTS
Identify the number of real and imaginary solutions for: f(x)=x4+3x3+2x−6
(Write answer as a number, not a word)
Imaginary=
real=

Answers

Answer:

2 imaginary; 2 real

You can factor it as ...

 f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

 = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Step-by-step explanation:

Hope this helps:)

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?

Answers

Answer:

  3

Step-by-step explanation:

we know that 23x7=161

so there will be 3 people on the last trip to the top

A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. Create a function f(x) which models the amount, in dollars, a senior citizen would pay for x pounds of bananas on a Wednesday.

Answers

Answer:

f(x)= 0.90(0.59x)

Step-by-step explanation:

The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90

Also we need to know that 0.59x means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59x)

4 A neghborhood is debating whether or not to have a leash law, which would require all dogs outside of homes to be on a leash. Most of the dog owners live in the
northern part of the
neghborhood. Which of these polls should give the most accurate information?
O A Apoll in which two streets are chosen at random and all the houses are on those two streets are polled.
OB. A poll in which the northernmost street and the southernmost street are both polled
• C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.
OD. A poll in which 25 people are chosen by picking random phone numbers.

Someone please help
Will give brainliest

Answers

Answer:

C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.

Step-by-step explanation:

It limits the field to those the law would affect, yet is randomized within that field to not bias the results much.

work out the value of 35-3×9
you must remember to do the bidmas or bodmas in those type of question
First you must try to do multiplie this question 3×9 = 27
than subtract
35-27 =8
8 is final answer ​

Answers

Answer:

8

Step-by-step explanation:

35-3×9=35-27

=8

Hope this helps!!!

© Write
[tex] \sqrt{8} [/tex]
power of 2​

Answers

Answer:

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you

Which equation has the solution x = 3?


Select each correct answer.


2x + 4 = 10

9−3x=0

3x + 1 = 9

9x−1=4

x3+5=6

5x−7=1 giving 50 pointss so hurry

Answers

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

2 1/4 x 3 1/5 i need help

Answers

Answer:

7 1/5

Step-by-step explanation:

2 1/4 * 3 1/5

Change to improper fractions

2 1/4 = (4*2+1)/4 = 9/4

3 1/5 = (5*3+1)/5 = 16/5

9/4 * 16/5

Rewriting

9/5 * 16/4

9/5 * 4/1

36/5

Change back to a mixed number

7 1/5

In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined

Answers

Answer:

The answer is D cannot be determined

Step-by-step explanation:

this is because you don't have enough information

How many integers between 50 000 and 60 000 are squares of integers?

Answers

Perfect squares are the squares of integers

There are 990 integers between 50000 and 60000 that are squares of integers

There are 1000 perfect squares, and 100 perfect cubes between 1 and 1000000

This is because:

[tex]\mathbf{100000 = 1000^2 = 100^3}[/tex]

Rewrite as:

[tex]\mathbf{100000 = x^2 = y^3}[/tex]

Where x lies between 1 and 1000, and y lies between 1 and 100.

If y^3 is a perfect square, then y is a perfect square

List out the perfect squares from 1 to 1000

[tex]\mathbf{y = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}[/tex]

Take the cube of these numbers

[tex]\mathbf{y^3 = 1^3, 4^3, 9^3, 16^3, 25^3, 36^3, 49^3, 64^3, 81^3, 100^3}[/tex]

[tex]\mathbf{y^3 = 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000}[/tex]

So, the count of numbers that are perfect squares and perfect cubes between 1 and 1000000 is 10.

The count of integers between 50000 and 60000 that are squares of integers is:

[tex]\mathbf{n = x -10}[/tex]

Substitute 1000 for x

[tex]\mathbf{n = 1000 -10}[/tex]

[tex]\mathbf{n = 990}[/tex]

Hence, there are 990 integers between 50000 and 60000 that are squares of integers

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General Instructions: Solve the following problems. Write your answers on the space provided.



Find the area under the standard normal curve that lies between the following: (3 pts each)

z=0 and z=2 __________________________

z=0 and z=3 __________________________

z=-3 and z=3 __________________________

z=0 and z=1.70 __________________________



Find the AREA under the standard normal curve: (4 pts each)

to the left of z=-0.40 __________________________

for z<0.40 __________________________

to the right of z=1.65 __________________________



Given the graph below, find the following:



the degree of each vertex (11 points)













Is there an Euler Trail? If there is, give 1 example. (1 point)













Is there a Hamiltonian Path? If there is, give an example. (3 points)



Answers

Answer:

Step-by-step explanation:

which of the following is a number where the digit 2 represents 1/10 the value of the digit 2 in the number 1,947.5286​

Answers

Answer:

0.002

Step-by-step explanation:

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000

2/1000 is also 0.002

0.002 is the value of the digit 2 in the number 1,947.5286​.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here we have,

the number 1,947.5286​.

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100

and that would get us 2/1000

i.e.

2/1000 is also 0.002

Hence, 0.002 is the value of the digit 2 in the number 1,947.5286​.

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Here's Robert's spending diary for one week. It may not look like he's spending much. Use a calculator to add up Robert's total spending for the week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Lunch $7.00 Shampoo $6.00 Lunch $7.00 Jacket $40.00 Lunch $7.00 Breakfast $4.50 Coffee $2.00 Bus $3.00 CD $14.00 Lunch $7.00 Lunch $7.00 Movie $12.00 Haircut $40.00 Total: $21.00 $13.00 $10.00 $47.00 $19.00 $44.50 $2.00 How much does Robert spend on lunch in a week, in a year? If Robert continues to buy his lunch every weekday, he will be spending /week. S weeks in a year = $ spent during the year.​

Answers

The answer is 12 you welcome ma brotha
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