I need help with this word problem please

A person in a lighthouse, that is 315ft high, spots a boat in trouble. The angle of depression to the boat is 21°49ʹ. How far from shore is the boat?

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Answers

Answer 1

Answer:

786.9 feet to the nearest tenth.

Step-by-step explanation:

In the triangle formed between the boat, base of the lighthouse and the top of the lighthouse, the opposite side to angle 21 49' is the height of the lighthouse and the distance (d) of the boat is the adjacent side.

So we have:

tan 21 49 = 315 / d

d = 315/ tan21 49

= 786.89 ft.


Related Questions

Can you help me with this math question pls? I need help super fast.

Answers

Answer: I thinks it’s B

Step-by-step explanation:

given a set of input values, the function must be able to assign a value to each input value give some specific input value, the function must not assign more than one value to it

Answers

Answer:

No

Step-by-step explanation:

No, because one of the x-value is used more than once, this graph is not a function.

If this has helped please mark as brainliest

Is (-2, 4) a solution of the graphed inequality?

Choose 1 answer:
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

I think the test

The area of a circle is 23.79cm2.
Find the length of the radius rounded to 2 DP.

Answers

Answer:

2.75cm

Step-by-step explanation:

Given data

Area of circle=  23.79cm^2

We know that the formula for the area of a circle is

Area= πr^2

Substitute

23.79=3.142*r^2

23.79/3.142= r^2

7.57=r^2

Square roo both sides

r= √7.57

r= 2.75 cm

Hence the radius is 2.75cm

hellllllllllllllllllllllllllp

Answers

Answer:

I believe the answer is 250. I hope this helps Bye!

Emily went to a toy story that was selling one Nintendo ds game and one wii game for a total of $70. Emily bought 3 ds games and 2 with games and spent $169 .what was the price of one wii game

Answers

Answer:

0ne wii game is 50 dollars

Step-by-step explanation:

Factorise fully 15x² + 10x​

Answers

Answer:

5x (3x + 2)

Step-by-step explanation:

15x² + 10x​

5x (3x + 2)

in the accompanying diagram of circle o, chords ab and cd intersect at e. if ae x eb = 18 and ed = 6, what is ce?

a: 108
b: 24
c: 3
d: 18

Answers

Answer:

CE = 3

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

CE × ED = AE × EB , that is

CE × 6 = 18 ( divide both sides by 6 )

CE = 3

how many lines of symmetry does does this triangle have ?

Answers

Answer:

D..... 3 lines of Symmetry

Heck I can't leave I should but I can't---At a local pet store, Shirley noticed that about four out of five customers who bought pets chose goldfish. Shirley wants to know the estimated probability that three randomly selected customers buying pets would not buy goldfish. How could Shirley design a simulation for this scenario?
A.
She could roll a six-sided die three times. On the die, numbers 1 to 3 represent customers who buy goldfish and 4 to 6 represent customers who don’t buy goldfish.
B.
She could spin a spinner divided into nine equal sections three times. On the spinner, four sections represent customers who buy goldfish and five sections represent customers who do not buy goldfish.
C.
She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.
D.
She could use a random number generator to generate a set of three numbers from 0 to 9. The numbers 0 to 4 represent customers who buy goldfish, and 5 to 9 represent customers who do not buy goldfish.
E.
She could use a number generator to generate a set of five numbers from 0 to 3. The numbers 0 to 2 represent customers who buy goldfish, and 3 represents customers who do not buy goldfish.

Answers

Answer:

C. She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.

Step-by-step explanation:

We are told that four out of five customers who bought pets chose goldfish.

Thus;

P(those who bought pets also chose gold fish) = 4/5

Therefore;

P(those who bought pets but do not buy gold fish) = 1 - (4/5) = 1/5

Now, she wants to know the estimated probability that three randomly selected customers buying pets would not buy goldfish.

The probability we have is 1/5.

Therefore,to accommodate the 3 randomly selected customers, we have to multiply the numerator and denominator for each probability by 3.

Thus;

P(those who bought pets also chose gold fish) = 4/5 × 3/3 = 12/15

P(those who bought pets but do not buy gold fish) = 1/5 × 3/3 = 3/15

Looking at the new probabilities, the simulation she can use is to divide a spinner into five equal sections three times so that for each section, we can have the probability of 1/5 and 4/5.

Thus, option C is correct.

The price of a snowsuit is reduced by $28.38.
This is a discount of 33%.
a) What is the regular price of the snowsuit?
b) What is the sale price of the snowsuit, including taxes?

Answers

Answer:

(a)  s = the original price = $28.38 / 0.67 = $42.36

Step-by-step explanation:

Let s represent the original price of the snowsuit.  

If $28.38 is a discount of 33% from the original price, then (1.00 - 0.33)s = $28.38, or 0.67s = $28.38.

(a)  s = the original price = $28.38 / 0.67 = $42.36

(b) if taxes are 7% then the sale price is (1.07)($42.36) = $45.32.

Of course, if the tax rate is other than 7%, the total sale price will be different.

Find the perimeter.
42
14
82
102
O
12
102
Perimeter = ?
Simplify your answer completely.

Answers

61 19/20 if I’m correct. It can’t be simplified

A field has a length of 260 meters and a width of 500 meters. Part of the field, 50 meters by 200 meters, is paved for a parking lot. How much of the area remains unpaved?

Answers

Answer: 120,000 meters²

Step-by-step explanation:

First find the area of all the land both paved and unpaved:

= Length * Width

= 260 * 500

= 130,000 meters²

The find the area paved:

= 50 * 200

= 10,000 meters²

The area left unpaved:

= Total area - Paved area

= 130,000 - 10,000

= 120,000 meters²

Katie has the following grades on the last 5 math tests: 56, 90, 67, 82, 78. What would her average test score be?

Answers

Answer:

74.6

Step-by-step explanation:

Tp find the average, add all the scores and divide by the number of scores.

56 + 90 + 67 + 82 + 78 =  373

Now divide 373 by 5.

373 / 5 = 74.6

What is the result of adding 3 to -3?

A) -6
B) -3
C) 0
D) 6

Answers

Answer:

C

Step-by-step explanation:

-3 + 3 = 0

- Gage Millar, Algebra 2 Tutor

Answer:

[tex]\huge{\boxed{\boxed{\tt {⇻ Answer :- }}}} \ [/tex]

[tex]3 + ( - 3) \\ = 3 + - 3 \\ = 3 - 3 \\ = 0[/tex]

⎆ Answer :- Option C) 0

A vase in the shape of a cube measures 8
inches on each side. The vase is half full with
water. How many cubic inches of water are
in the vase?

Answers

256 cubic inches

8*8*8=512 in^3
512/2=256

The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true statements about the function ()=(2−6)(−4).

Answers

Answer:

Here we want to complete the blank to make the equality true:

( ) = (2 - 6)*(-4)

The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:

x = (2 - 6)*(-4)

We just need to find the value of x.

Then let's solve the right side:

x = (2 - 6)*(-4) = (-4)*(-4)

Remember the rule of signs:

(-)*(-) = (+)

x = (-4)*(-4) = 4*4 = 16

Then we need to complete the blank with the number 16

(16) = (2 - 6)*(-4)

image is right there please help

Answers

Answer:

Step-by-step explanation:

Can you at least put the questio here

Pedrito gastó la cuarta parte de su propina en golosinas, las dos quintas partes en juegos y la octava parte se la regaló a su hermano menor. ¿Qué fracción de su propina todavía le queda?

Answers

Answer:

La fracción de la propina que todavía le queda a Pedrito es:

9/40 (nueve cuarentavos).

Step-by-step explanation:

Para obtener la respuesta, se debe realizar una resta de fracciones, en este caso la haremos de solo dos fracciones por ocasión para que quede muy bien entendido. La totalidad de la propina de Pedrito corresponde a una unidad (es decir 1 entero), por lo tanto, a ese número le restaremos lo que gastó en golosinas, lo cual es una cuarta parte o 1/4:

[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Una vez Pedrito ha gastado una cuarta parte en golosinas, aún le quedan tres cuartas partes o 3/4, ahora a ese número le restaremos las dos quintas partes o 2/5 que gastó en juegos:

[tex]\frac{3}{4}-\frac{2}{5}=\frac{7}{20}[/tex]

Una vez gastadas dos quintas partes en juegos aún le quedan siete veinteavos o 7/20, por último, a este número le restaremos la octava parte o 1/8 que le regaló a su hermano menor:

[tex]\frac{7}{20}-\frac{1}{8}= \frac{9}{40}[/tex]

Por lo tanto, al final de sus gastos y obsequios, a Pedrito le quedan 9/40 o nueve cuarentavos de su propina.

The average weight of a male African elephant is 15,000 pounds. How many tons is this?

A. 7 1/2 tons

B. 7 Tons

C. 8 Tons

D. 30,000,000 Tons

Answers

Answer:

A

Step-by-step explanation:

I just looked it up lol but I hope I helped

Answer: A

Explanation:

1/5 divided by 3 please! in fraction form!!

Answers

Answer:

1/15

Step-by-step explanation:

Help me plz no wrong answer plz answer fast please!!!!!

Answers

Answer:

3rd option "The data point for player G is an outliner"

His weight is on the extreme side compared to the other players

and plus the other answers are just wrong

but the 4th option may be a possible answer

Find the area of the figure. Sides meet at right angles. No links please

Answers

Answer:

answer: 72

Hope that helps!

please help asap!!!!

Answers

answer: 128 degrees

the exterior angle = both interior angles added together so:

30 + 90 = 128

hope this helps :)
The answer is 128 degrees

Please help! This is due today!

Answers

Answer:

Yes it will fit

Step-by-step explanation:

The area of the bedroom, since it's a square, would be 12ft * 12ft = 144ft²

The area of the circular rug would be πr² = π(40.82/2π)² = 132.6ft²

Since 144ft²>132.59ft², this means that the 132.6ft² circular rug would be able to fit into the 144ft² bedroom.

drag step's into order to correctly to solve the equation x-27=​

Answers

Answer:

x = 89x - 27 (+27) = 62 (+27)

Step-by-step explanation:

you have to isolate x, the variable. to do so, you have to invert the number to 'cancel' it out

erms is selling tickets to a musical performance.

Answers

Answer:

the price of an adult ticket is $3 and a child ticket is $2

Step-by-step explanation:

Translate: two is four more than a number, x

Answers

2 is 4 more than -2

I know this because there is no positive number -4 from 2 so you need to go to the negatives which means 2, 1 ,0, -1,-2.

Hope this helped<3

Have a wonderful day...

-Dignoris :)

Which of the following is the most reasonable product of 5 10/11 and 3 16/17

15
18
20
24

Answers

Answer:

24

Step-by-step explanation:

Both improper fractions are very close to the next whole number, and since it asks for the most reasonable product (multiply/times) you can round them both up to 6 and 4. 6 x 4= 24

9.42 * 6.7 Show explanation

Answers

Answer: 63.114

Step-by-step explanation:

Multiply like normal but don’t bring your decimal down count how many number are behind the decimal. You have 2 on the first number and 1 on the second so count 3 places

Answer:

63.114

Step-by-step explanation:

See the picture I attached, I hope this helps!

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