A helicopter hovers 500 feet above a small island. The figure shows that the angle of
depression from the helicopter
to point P is 49º. How far off
the coast, to the nearest foot, is the island?

A Helicopter Hovers 500 Feet Above A Small Island. The Figure Shows That The Angle Ofdepression From

Answers

Answer 1

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)


Related Questions

Complete the sentence ​

Answers

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel  straight lines are cut by a transversal

[tex]\angle b=62^{\circ}[/tex]

In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle

[tex]\therefore \angle d=62^{\circ}[/tex]

A + B - _____ = B
PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

Because if you subtract A from A it gets rid of A leaving only B left.

What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST

Answers

Answer:

0.57

Step-by-step explanation:

The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.

When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.

Answers

Answer:

A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.

Step-by-step explanation:

Given

[tex]3x - 3y = 1[/tex]

[tex]-2x+ 4y = 2[/tex]

Required

A good first step

A good first step is to eliminate x and this is done as follows:

Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)

Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)

This gives:

[tex]6x - 6y = 2[/tex]

[tex]-6x + 12y = 6[/tex]

Add both equations

[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]

[tex]6y = 8[/tex]

[tex]y = \frac{4}{3}[/tex]

Hence (a), is true

Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.

Answers

Answer:

1,440,000

Step-by-step explanation:

1249 is rounded to 1200 because 49 is less than half of 100.

1194 is rounded to 1200 because 94 is more than half of 100.

1200 x 1200 = 1,440,000

117
x
x + 3
Find the value of x.

Answers

Answer:

114 I believe........

..

Answer:

what?

Step-by-step explanation:


Use the half-angle formulas to find the exact value of the trigonometric function sin 15°

Answers

Answer:

sin 15° = 0.2588

Step-by-step explanation:

The half angle formula is:

[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]

sin 15°

The double of 15º is 30º. First quadrant, so the sine is positive.

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]

Since [tex]\cos{30} = 0.866[/tex]

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]

sin 15° = 0.2588

HELPPPPPPP PLEASEEEE I AM SO DESPERATE

Answers

Answer:

Select A, C, D, and F

Step-by-step explanation:

B is not multiplication

C is correct

D is shorter form, correct

F is correct

Plz mark as brainliest if correct! Have a nice day!!!

9x + 18 - 5x = 2 + 4x

Answers

Answer:

There are no solutions

Step-by-step explanation:

9x+18−5x=2+4x

Step 1: Simplify both sides of the equation.

9x+18−5x=2+4x

9x+18+−5x=2+4x

(9x+−5x)+(18)=4x+2(Combine Like Terms)

4x+18=4x+2

4x+18=4x+2

Step 2: Subtract 4x from both sides.

4x+18−4x=4x+2−4x

18=2

Step 3: Subtract 18 from both sides.

18−18=2−18

0=−16

Answer:

There aren't any values of x that would make the equation true.

NO SOLUTION

Hope this helped <3

HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL

Answers

The third answer is the answer
it’s the third answer
s-10
taking 10 away from s is really just subtracting 10 from s.
:)

If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day

Answers

Answer:

u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound

step-by-step explanation:

brainliest?

Please help me I wanna get out this class

Answers

cut a line between the triangle and rectangle
area of rectangle is length x width
8x5=40
area of triangle is base x height divide by 2
5x5=25
25 divide by 2 is 12.5
add them together
40+12.4 = 52.4

Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.​

Answers

Answer:

2b + 3 = 15

b = 6

Step-by-step explanation:

9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.

Answers

Answer:

How tightly packed an object's particles are.

If 3n + 7 = 25, then find the value of the expression 8n - 3]

In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.

Answers

Answer:

n=6,

SAS,

63

Step-by-step explanation:

3n+7=25

3n=25-7

3n=18

n=18/3

n=6

_______________________________

ΔDEF is congruent to ΔXYZ

DE=XY(side)

<E=<Y (angle)

EF=YZ (side)

by SAS congruence criteria ΔDEF=ΔXYZ

_________________________

(Linear pair)

180°-117°

=63

Answer=63

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X= the sale price (in thousands of dollars) for the selected car. Find P(X>25), left parenthesis, X, is greater than, 25, right parenthesis. You may round your answer to two decimal places.

Answers

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that [tex]\mu = 26, \sigma = 2[/tex]

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 26}{2}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

Answer:

Step-by-step explanation:

a cuántos gramos equivale y 250 gramos​

Answers

Answer:

Me puedes dar más información?...Pliss

Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.

Step-by-step explanation:

A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width

Answers

Answer:

The length is 117 ft and the width is 13 ft.

Step-by-step explanation:

From the question itself, we can write down the following equations...

(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)

L = 9W

and

P = 2L + 2W

Now, we substatute the "L" value and get...

P = 2L + 2W

260 = 2(9W) + 2W

260 = 20W

W = 260 / 20

W = 13

Since we know the width we can now find the length by using the very first formula...

L = 9W

L = 9(13)

L = 117

Therefore, the length is 117 ft and the width is 13 ft.

Simplify.
(-216) ^-1/4

Answers

Answer:14 or 0.25

Step-by-step explanation:

It’s basically already written there but decimal form is 0.25

If AC = x + 6, and AB = 15 solve for x.

Answers

x = 9

AC = AB

15 = 6 + x

15 - 6 = 9

What is the value of x?​

Answers

Answer:

Option A = 6

Step-by-step explanation:

3x- 5 = x+ 7           ( as diagonals r equal in a recangle)

3x-x = 7+ 5

2x = 12

x = 12/ 2 = 6

I hope im  Right !!

Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)

Answers

Answer:

she will have to work 25 hours

Step-by-step explanation:    

$10 per 1 hour she has $50

$300-$50=$250

10 x 25 =250

Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3

Answers

Answer:

D.

Step-by-step explanation:

D is the correct answer

we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10​

Answers

Answer:

try symbolab calculator it will give you a step by step explanation

Answer:

x= -2

y= 12

Step-by-step explanation:

5x + y = 2..................eqn 1

x + y = 10 ..................eqn 2

from eqn 1

5x + y = 2, u substitute by making 'y' the subject

y = 2 - 5x .................eqn 3

put eqn 3 into eqn 2

x + y = 10

x + 2 - 5x = 10

x - 5x = 10 - 2

-4x = 8

x = 8 / -4

x = -2

put x = -2 into eqn 1

5x + y = 2

5(-2) + y = 2

-10 + y = 2

y = 2 + 10

y = 12

Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.

Answers

Answer:

$3283.2

Step-by-step explanation:

Given data

Principal= $2700

Rate= 4%

Time= 5 years

Required

the final Amount A

The compound interest formula is

A=P(1+r)^t

Substitute

A=2700(1+0.04)^5

A=2700(1.04)^5

A=2700*1.216

A=$3283.2

Hence the balance in the account after 5 years is $3283.2

add the complex numbers: (4 + 8j) + (-2 - j)​

Answers

Answer:

7j+2 or 2+7j

Step-by-step explanation:

(4+8j)+(−2−j)

Subtract 2 from 4 to get 2.

2+8j−j

Combine 8j and −j to get 7j.

2+7j

What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5

Answers

Answer:

B

Step-by-step explanation:

6x-7=26

6x=33

x=5.5

Answer:

B

Step-by-step explanation:

I need more letters ssssjsjsks

7.4 as a mixed fraction

Answers

7.4 in fix fraction will look like this:

[tex]7 \frac{2}{5} [/tex]

Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.

Answers

Answer:

b + 1.75f

Step-by-step explanation:

1.75 cups are used for every loaf of pumpkin bread.

Answer:

f(4/7)=b

Step-by-step explanation:

3+1/2=7/2

(7/2)x=2

x=4/7

the constant of the equation is 4/7

so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.

f(4/7)=b

Hope that helps :)

Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored

Answers

Given:

Some boxes are fully colored.

Each fully colored ten block represents 1 whole.

The number of colored boxes will be divided into 11 equal part.

To find:

The number of squares need to be colored on each of the 10 blocks.

Step-by-step explanation:

From the given figure, it is clear that,

Number of colored box = 55

The number of colored box will be divided into 11.

[tex]\dfrac{55}{11}=5[/tex]

Therefore, 5 squares need to be colored on each of the 10 blocks.

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