An eagle perched 40 ft up in a tree looks down at a 35 degree angle(angle of depression) and spots a vole. How far is the vole from the eagle(diagonal) to the nearest tenth of a foot?

Answers

Answer 1

Answer:

[tex]X=49ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Eagle [tex]h=40ft[/tex]

Angle of depression [tex]\theta=35\textdegree[/tex]

 

Generally the trigonometry equation for diagonal X is mathematically given by

[tex]Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }[/tex]

[tex]Cos\theta \textdegree=\frac{h}{X} }[/tex]

[tex]X=\frac{40}{Cos 35 } }[/tex]

[tex]X=48.83ft[/tex]

[tex]X=49ft[/tex]


Related Questions

Does the expression Y>2x-1 define a function?

Answers

Step-by-step explanation:

This is a polynomial, and every expression like y=p(x) , with p(x) a polynomial, is a function.

In the image provided, the circle is centered at point W with ZX←→ and ZY←→ tangent to ⊙W at X and Y, respectively.

Given ∡XWY=75°, what is ∡XZY?

A. 105°

B. 150°

C. 75°

D. 15°

Answers

9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

..........................

Answers

Answer:

= -15.4

Step-by-step explanation:

-10.6-4.8

= -(10.6+4.8)

= -15.4

you basically just add the negatives.

i hope this helps :)

Answer:

-15.4

Step-by-step explanation:

Subtract the numbers -10.6 - 4.8 to get -15.4

If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!

What is ac equal to

Answers

Answer:

X=2.87

Step-by-step explanation:

Sin x= Opposite/hypotenuse

Sin35=x/5

X=5sin35

X=AC=2.87

PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?

A. One
B. Two
C. None
D. Infinitely many

Answers

Answer:

same line....infinite solutions

Step-by-step explanation:

4y + 7 = 5 + 2 + 4y...simplify

4y + 7 = 7 + 4y

Rolling a 6 sided die. Find the probability the number rolled is less than 3 given that it’s a factor of 6.
( help please :) )

Answers

Answer:

33.333%

Step-by-step explanation:

a 6 sided die has the number 1,2,3,4,5,6. 2 are less than three so the chances of getting the of getting a number less than 3 is 2/6, simplified 1/3.

how do you solve this??

Answers

Answer:

The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.

(っ◔◡◔)っ ♥ Hope It Helps ♥

The sum in the line is 180

PLEASE HELP!! ILL MARK BRAINLYEST!!

Evaluate 6C2 .

120
15
720
30

Answers

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

3)If a prism has 5 sides for its base how many faces should the prism have?
0
1
5
10

Answers

the answer is 10 hope that helps :)

Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm​

Answers

Answer:

6cm is the correct answer

In the year 2000, the population of Virginia was about 7,400,000.
Between the years 2000 and 2004, the population in Virginia grew
at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000 (1.054)*
gives the population x years after 2000.
9. In what year will the population reach 15,000,000?
10. In what year will the population reach 20,000,000?

Answers

Answer:

Step-by-step explanation: 7,400,000/5.4%=13,703.7

grows by 13,703.7 every 4 years

7+7

find the length of the missing side in the following examples

Answers

Answer: 1. 6.1

2. 13

3. 5.4

4. 5.7

5. 10.4

6. 31

Step-by-step explanation:

I got the values of the missing sides by doing the Pythagorean theoreom. Therefore, I had to find the length of the hypotenuse. a^2+b^2=c^2

a and b are the values of the sides given, and we have to find the value of c. So, for instance on number one 6 and 3 are a b. (6)^2+(3)^2= 45. Now we have to find the square root of 45. The square root of 45 is 6.7082039325.

So the value of the missing side in number one is 6.7.

Adam is going to invest $23,000 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Adam to end up with $51,000?

Answers

Answer:4.2

Step-by-step explanation:

4.19122

Answer:4.2

Step-by-step explanation:

1. Which form shows the slope-intercept form?
y = mx +b
Ax + By =C
y-y1 = m(x-x1)

Answers

Answer:

y = mx + b

Step-by-step explanation:

b is your y intercept while m is your slope which is just rise over run.

Given that
X2: (20 – 3x) = 1 : 2
find the possible values of x.​

Answers

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

Answer:

x= 2.5

x= 2.5x = - 4

Step-by-step explanation:

1:2

x² : (20 - 3x)

x2 : x 1

2x² : 1(20-3x)

2x² : 20 - 3x

+3x , then - 20

2x² + 3x - 20 = 0

2 x - 20 = - 40

x to get - 40

+ to get 3

(8 x - 5 = -40 & 8 + - 5 = 3)

Split 3x into 8x & - 5x, then factorise:

2x^2 + 3x - 20 = 0

2x^2 + 8x - 5x - 20 = 0

2x(x+4) - 5(x + 4)

(2x-5) (x+4) =0

2x - 5 = 0

+5

2x = 5

÷2

x = 2.5

x+4=0

-4

x = - 4

x=2.5,-4

Hope this helps!

The number of music CDs sold in 1993 by one company was approximately 2.4 x 100. The number of music CDs sold by the same
company in 2001was approximately 7.3 x 107. What is the difference in CDs sold between 1993 and 2001?
sobod uopsand
A. 70,600,000

OB. 16,700,000
C. 7,060,000
D. 1,670,000
Reset Selection
US 5:33
o
Lenovo

Answers

Answer:

A

Step-by-step explanation:

What is the equation of the circle?

Answers

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

PLEASE HELP ASAP
Find the surface area and the volume of the cone:

*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.

Answers

Answer:

surface area= 301.6

volume=301.6 again Imao I'm not sure how right that is

What does f(2)=10 mean in the context of the situation?

Answers

Answer:

it means 2 × 5 = 10 is this good

what is 5+5
=10 for me

Answers

Answer:

that will be 10?

Step-by-step explanation:

Answer:

5+5=10 is right

Step-by-step explanation:

please mark me brainliest

A circular plate has a radius of 12 inches. Complete the table. Include a number and a unit in the last column. ​

Answers

Answer:

Area                        A = πr²                452.16 in²

Circumference       C = π2r                  75.36 in

Which function represents the given graph?
O f(x) = 100 (3/5)^x
O f(x) = (100 ×3/5)^x
O f(x) = 100+ 3/5x
O f(x) = 100×(2/5)x​

Answers

Answer:

A. f(x) =  100 · (3/5)^x

Step-by-step explanation:

Answer: edge 2021

Step-by-step explanation:

I DON'T UNDERSTAND HOW THE ANSWER IS 15% PLEASE EXPLAIN

A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?

Answers

Answer:

15%

Step-by-step explanation:

17/20 the 17 is the part, and the 20 is the whole

17/20 = x/100

cross multiply

17*100= 1,700 divide by 20

=85

The price reduced to 85% the original price, but to find out how much it changed, you have to subtract the part from the whole meaning

100% - 85% = 15%

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)

Answers

a is 321. b is  52 . GOOD luck !!!!!!!!!!!!!!!!!

I NEED HELP ASAP! PLEASE

Answers

Answer:

I believe it’s c tell me if i’m wrong

Step-by-step explanation:

A bag with 5 pound of potatoes costs $3.20. How much do 12 pounds of potatoes cost at the same rate?​

Answers

Answer:

$7.68

Step-by-step explanation:

You must find the rate first, so in order to do that you divide the price by the quantity which is

3.20/5

which equals .64 and this number is the cost of potatoes per pound so to find 12 pounds you do

.64 * 12

which equals 7.68

Answer: 7.68

Step-by-step explanation:

First you find the rate where you do 3.20/5 which equals .64

Then you multiply the 12 and .64 and get 7.68

You love watching movies on your phone! Unfortunately each movie uses about
0.75GB. For this billing cycle, you’ve already used up 3 GB and your cellular plan
has a 15 GB data limit. How many movies can you watch without going over your
data limit?

2) Is there only one possible value for M (the number of movies you can watch
without going over your data limit) or many values? Explain.

Answers

Answer:

2

Step-by-step explanation:

Max and Jay Are running a lemonade stand they spent $12 on all the material and charge $1.50 for each cup of lemonade write an equation that will allow you to calculate the profit (P) if you are told the number of cups (c) that are sold.

Answers

Answer:

P = $1.50c - $12

Step-by-step explanation:

profit = total revenue - total cost

total revenue = price per cup x total cup sold = $1.5 x c = 1.5c

Cost = $12

How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.

Answers

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

which table shows the function y=2x+4?

Answers

A is the answer. Work is shown below
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