A bird flying at an altitude of 50 feet spies a worm in the ground up ahead. How far must the bird travel to the worm if the angle of depression from the bird to the worm is 56°?

Answers

Answer 1

Answer:

33.7 ft

Step-by-step explanation:

We solve the above question using Trigonometric function of Tangent

tan θ = opposite/adjacent

θ = 56°

Opposite = 50 ft

Adjacent = x

Cross Multiply

tan 56 = 50 ft/x

Cross Mulitiply

tan 56 × x = 50ft

x = 50ft/tan 56

x = 33.725425842 ft

Approximately = 33.7 ft

The bird must travel 33.7 ft to meet the worm


Related Questions

what is the answer to this, Simplify 8 and2/3

Answers

Answer:

4

Step-by-step explanation:

I think that is the answer

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?

Answers

Answer:

No

Step-by-step explanation:

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Which rule can be used to find the output numbers in this table?

Answers

Answer:

D

Step-by-step explanation:

22/11 = 2

77/11 = 7

110 /11 = 10

121/11 = 11

In each case, when you divide the input by 11 you get the output.

The rule is to divide the input by 11.

Answer: D

A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.53
B. 0.51
C. 0.49
D. 0.50

Answers

Answer:

0.50

Step-by-step explanation:

The sample proportion to be found for 98% confidence interval is

D. 0.50.

What is a confidence interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.

Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability.

Given, Sample = (0.47, 0.53).

Confidence interval = 98%.

Therefore, The sample proportion is,

= (0.47 + 0.53)/2.

= 1/2.

= 0.5.

So, The sample proportion is 0.50.

learn more about confidence intervals here :

https://brainly.com/question/24131141

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Order these numbers from least to greatest​

Answers

Answer:

- 81, 8.54, 8 13/29, 8.6

Step-by-step explanation:

!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81

Answers

Answer:

81

Step-by-step explanation:

(-81)(-1) = 81

3/10 divided divided by 6 =

Answers

Answer:

.05 or 1/20

Step-by-step explanation:

If you meant 3/10 divided by 6 then the answer is .05 aka 1/20

May I have brainliest if this helped you?

Hope this helped!!

Bella was here :)

You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6

Since I am not sure which one, I will do the work for both

1. 3/10 / 6

Convert 6 into a fraction

6 = 5 10/10

5 10/10=50/10

3/10 / 50/10

3/10 * 10/50 = 30/500

30/500= 3/50

3/50

2. 3 divided by 10 divided by 6

3 divided by 10 = 0.3

0.3 divided by 6 = 0.05

0.05

Hope this helps

Which equation or function is linear?

Answers

Answer:

I think that the answer might be b

Answer:

the third one

Step-by-step explanation:

y=mx+b is the formula for a liniear equation and that follows it correctly simplified

Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!

Answers

All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!

If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y​

Answers

Answer:

x = 3, y = 5

Step-by-step explanation:

Since the ordered pairs are equal, then equate the x and y coordinates

x + 2 = 5 ( subtract 2 from both sides )

x = 3

y - 1 = 4 ( add 1 to both sides )

y = 5

You and a friend are playing a game of chance. Every time you roll (using a fair die) a 1, 2, 3, or 4, you are successful, and your friend will pay you $1. Every time you roll a 5 or 6, you must pay your friend $2. If 65% of your rolls are successful and 35% of your rolls are unsuccessful, how much money do you expect to have won/owe by the end of the game?

You owe 41 cents

You have won 5 cents

You owe 5 cents

You have won 41 cents

Answers

Answer:

you owe $5

Step-by-step explanation:

65% wins means $65

35% losses means -$70

Answer:

You owe 5 cents.

Step-by-step explanation:

(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value

65% of rolls are successful which means that  13/20 of the rolls are successful (simply convert to a fraction).

35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.

Using the equation above we can use,

(1)(13/20)+(-2)(7/20)

to find the expected value.

(1)(13/20)+(-2)(7/20)=0.05

Find x. Simplify completely. X Х 16 4. x = [?]​

Answers

Answer:

4

Step-by-step explanation:

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The graph shows the quadratic function f(x).


What is the average rate of change for the quadratic function from x = 6 to x = 8?

Enter your answer in the box.

Answers

Answer:

-1

Step-by-step explanation:

at x = 6

y = 6

point (6, 6)

at x = 8

y = 4

point (8, 4)

From (6, 6) to (8, 4)

∆y = 4 - 6 = -2

∆x = 8 - 6 = 2

ave rate change = -2/2 = -1

Answer:

What is the average rate of change for the quadratic function from x = 6 to x = 8?

Enter your answer in the box.

Answer is -1 Took the test

Step-by-step explanation:

Enter an expression equivalent to (2x^2- 4x + 5) + (x^2+ 3x – 7) using the fewest possible number of terms.

Answers

answer:
5x - 2
step-by-step explanation:
parentheses
(2x^2 - 4x + 5) + (x^2 + 3x - 7)
4x - 4x + 5 + 2x + 3x - 7
add like terms
5x - 2

I NEED HELP ASAP

Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?

Answers

x = 4,5
good luck :))))

Suppose fx) = x? What is the graph of g(x)= x(x)?

Answers

Answer:

1/2x^2

Step-by-step explanation:

f(x)=x^2 so g(x)=1/2x^2

if g(x)=x(x) then the answer is 1/2x^2

use desmos to help u select the correct graph

Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.

Answers

Answer:

Required inequalities are as following.

Brittany will exercise for at least 45 minutes:

x + y ≥ 45

Brittany will exercise at most 1 hour and 15 minutes  (= 75 min):

x + y ≤ 75

Brittany will spend at least three times as much time on the treadmill as on the ski machine:

y ≥ 3x

Answer:

[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]

Find the volume of the cone, round your answer to the nearest hundredth. Use 3.14
for t.
9
-2-0
units

Answers

Answer: 37.7un^3

Step-by-step explanation:

Volume = 1/3πr^2h

=1/3×π×22×9

=12π

= 37.699111843078 feet3

h(x) = 18.75 - 4.53x What is the value of h(−11)?

Answers

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57

2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.

Answers

T-shirt cost would be $3, hat would be $2

The cost of a t-shirt is £3 and the cost of a hat is £2.

What is a linear equation?

When an equation contains one or more variables with exponents as 1 then such equations are linear equations.

For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.

Let the cost of a t-shirt is £m and the cost of a hat is £n.

Formulate two linear equations using the given statements in the question.

[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]

Obtain the value of m from equation (1).

[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]

Substitute the obtained value of m into equation (1) and find n.

[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]

Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.

[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]

Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.

Learn more about linear equations at https://brainly.com/question/11897796

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Janelle wants to purchase a house that costs $425,000. She needs to have 20% of the purchase price for the down payment. What is the down payment?

Answers

Answer:

85,000

Step-by-step explanation:

425,000 x .20=85,000

At the end of her work day at the Ferguson Corporation, Sarah usually

walks to the subway station to travel home. Today, she is walking to the

Springdale Town Center first to take care of some errands. She will then

continue walking to the subway station to travel home. The map of these

routes is shown below.

2000 feet

Subway

Ferguson

Corporation

Station

Springdale

Town Center

If Sarah walks to the Springdale Town Center from the Ferguson

Corporation and then to the Subway Station, how much farther will she

walk than if she walks directly to the Subway Station from the Ferguson

Corporation? Show all of your work.

Answers

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348

Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

8 · 2 12
8 13
8 · 2 13
need its now being timed

Answers

Answer:

it would be 8 times 2^13

Step-by-step explanation:

8.2.12 seedsmffkfkrkrkekekekekkejejdhdhbhfbrhdhhfhfufudu

Similar figures have the same ________ but not necessarily the same size.

Answers

Answer:

Two figures are similar if they have the same SHAPE but not necessarily the same size.

need ko po answer plssssss

Answers

It’s really blurry, I can’t help :(

Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

PLEASE HELP! 100 PTS
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.

Answers

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.

AB=8ft

2 ft above

AB=10ftBC=400ft

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

There are 20 marbles in the box. 4 marbles are black, 6 marbles are blue, 10 are red. What is the probability of drawing a black OR a red marble?

Answers

Answer:

7/10 or 70% or 0.7

Step-by-step explanation:

4 black, 10 red

10+4=14

now you put it over the total marbles

14/20=7/10

i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%

Solve equation
4x-1=0

Answers

Answer:

x=1/4

Step-by-step explanation:

Answer:

4x-1=0

  +1  +1

4x=1

/4   /4

x= 0.25 or 1/4

Step-by-step explanation:

i hope this helps :)

Mr. López has a new house and wants to put a fence around the perimeter of the yard.

How many feet of fencing will he need to buy if his yard is rectangular and measures 100ft by 140ft?

A. 40 ft
B. 280 ft
C. 480 ft
D. 1,400 ft
E. 14,000 ft

Answers

Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

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