Mathematics Middle School

The pilot of a helicopter sights a fire at an angle of depression of 11°.
The helicopter's altitude is 1700 feet.
To the nearest foot, what is the distance from the helicopter to the fire?
8909 ft
3204 ft
8746 ft
3300 ft

Answers

Answer 1

Answer:

The distance from the helicopter to the fire is 8909 feet.

Step-by-step explanation:

Refer the attached figure

The pilot of a helicopter sights a fire at an angle of depression of 11° i.e. [tex]\angle ACB = 11^{\circ}[/tex]

The helicopter's altitude is 1700 feet.i.e.AB = 1700 feet

We are supposed to find the distance from the helicopter to the fire i.e. AC

Using trigonometric ratios

[tex]Sin \theta = Perpendicular}{Hypotenuse}\\\\Sin 11^{\circ}=\frac{AB}{AC}\\\\Sin 11^{\circ}=\frac{1700}{AC}\\\\AC=\frac{1700}{Sin 11^{\circ}}\\\\AC=\frac{1700}{0.1908}\\\\AC=8909.85 feet[/tex]

Hence the distance from the helicopter to the fire is 8909 feet.

The Pilot Of A Helicopter Sights A Fire At An Angle Of Depression Of 11.The Helicopter's Altitude Is

Related Questions

If cos omega =
3
5
find tan omega

Answers

Answer:

mmm 30

Step-by-step explanation:

Which interval for the graphed function has a local
minimum of 0?

[-3,-2]
[-2,0]
[1,2]
[2,4]

Answers

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

Answer: D

Step-by-step explanation:

2,4

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Please help. I don't understand.

Answers

Hey there!

The answer would be 4 FEET. If the slide is 10 feet tall and you are 6 feet down the slide then your are only 4 feet high. Just simple subtraction! So x = 4.

Hope this helps!

Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times Marco can go on the ride if he wants to spend at most $35

Answers

Answer:

(35-5) / 0.75 = amount of times he can ride.

30/0.75 = 40

Does this help?

Step-by-step explanation:

please help as soon as possible ​

Answers

Answer:

22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)

So,

23 + 18 + 24 + 15 + 25 = 105

Then,

105/5 = 21

Which equation has no solition

Answers

every equation does?

Answer:

Inconsistent equations: No solutions

For instance, 3=3 is a identity equation. A  equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.

Step-by-step explanation:

If 50% of an item is 22.00 what is the original price ?

Answers

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?

Answers

Answer:

multiply  42 m by 1.41 = 59.22

59.22 x 59.22 = 3507.0084

3507 = 3 billion

59.22  x 20  = 1 billion

Step-by-step explanation:

The equation below describes a parabola. If ais negative, which way does the
parabola open?

Answers

I cannot see the question show me

Answer:

Downwards

Step-by-step explanation:

Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.

Write a problem that could be modeled with y = 200(0.9)^x

Answers

Answer:

Step-by-step explanation:

A new TV sells for $200. Every year, the TV loses 10% of the initial value.

Please help me I’m terrible at math.

Answers

Answer:

A) 200,000*0.75%=1500*100=150,000

B) 150,000 will be the birds population in 100 years

A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2

Answers

Answer:

6 in.2

Step-by-step explanation:

Change these times to the 12-hour clock.
07:10
17:30

Answers

07:10 = 7:10 AM
17:30 = 5:30 PM

Answer:

7:10 am

5:30 pm

(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)

Answers

The measurements of an angle X is 80

Choose the function that is graphed below

A. Y=9^x
B. Y=3*3^x
C. Y=3^x

Answers

B (Try it for x=zero)

Answer:

B

Step-by-step explanation:

Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.

Answers

Answer:

Step-by-step explanation:

Area of the figure = Area of semicircle + area of rectangle

Area of semicircle:

d = 14 mm

r = 14/2 = 7 mm

Area = (1/2)πr²

[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]

=11 *7

= 77 mm²

Area of rectangle:

length = 14 mm

Width = 10 mm

Area = length *width

       = 14 * 10

       = 140 mm²

Area of the figure = 77 + 140 = 217 mm²

For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 4 pennies into his bank, how many pennies does Tara put into her bank?

Answers

Tara puts 16 pennies into her bank because Tara puts 4 times more pennies than tara

Answer:

bruh its 16 pennies

Step-by-step explanation:

1 penny from same=4 pennies from tara

multiply both sides by 4

sam puts in 4 pennies and tara puts in 16

1x4=4

4x4=16

HELP ASAP 100 POINTS!!!!


You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?




Answers

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d  which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

Answer:

You would get 1000 everyday because you would get the previous day, you would have 30,000

Step-by-step explanation:


Find the least common denominator (LCD) of
3
7
and
5
8

Answers

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.

Answers

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

Which equation represents a nonproptional relationship

Answers

I need to see a picture

SDRTYUK243567Iaqwertyh.

Answers

Answer

B, i think

Step-by-step explanation:

I need help with this please, I’m not sure if I should use the a^2+b^2=c^2

Answers

Answer:

yes, use the Pythagorean theorem

Step-by-step explanation:

it would be 6^2+15^2=c^2

Determine if these matrices are inverses by

calculating AB

B

12

AB =

LC21 C22

C12 =

C11 =

021

C22 =

inverses of one

So the matrices

another

Answers

Answer:

Now calculate BA:

d11= 1

d12= 0

d21= 0

d22= 1

Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE

Step-by-step explanation:

Egde

line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis

Answers

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, ​m,​ it will travel in ​t​ hours?
How far will the car travel in 7 hours ?

Answers

Answer:

IDK

Step-by-step explanation:

                               

Answer: 308

Step-by-step explanation:

sorry if wrong............

Select the correct answer.
Which statement describes the situation shown in the graph?

Answers

Answer:

there is no photo??where are the graphs??

Find the area of the trapezoid.
4 cm
7 cm
3 cm
3 cm​

Answers

Answer:

35 square cm

Step-by-step explanation:

[tex]area \: of \: trapezoid = \frac{1}{2} (3 + 4 + 3) \times 7 \\ = \frac{1}{2} \times 10 \times 7 \\ = 5 \times 7 \\ = 35 \: {cm}^{2} [/tex]

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