HELP PLEASE!!

Planes that fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘.

a. How many feet must the plane rise to pass over the tower?

The plane must rise at least _feet to pass over the tower.

Question 2
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?

The plane must fly at an altitude of at least feet to pass over the tower.

Answers

Answer 1

Answer:

a. About 436 ft

b. 21,436 feet

Step-by-step explanation:

a. Notice how the plane's rise (h), its horizontal distance from the tower, and its distance to the top of the tower (25,000 ft) all form a right triangle. If we want to find h, we need some way of putting it in an equation with the two quantities we already know: the angle of elevation and the distance to the top.

In the language of right triangles, we want to combine an angle, the side opposite the angle, and the hypotenuse. The sine function is perfect for this, since [tex]\sin{\theta}=opp/hyp[/tex]. For our problem, opp = h, hyp = 25,000, and θ = 1°, so our equation becomes

[tex]\sin{1^\circ}=h/25000[/tex]

or equivalently

[tex]h=25000\sin{1^\circ}\approx436[/tex] ft (rounded up to the nearest whole foot)

b. If the plane is currently flying at 20,000 feet, it needs to rise about 436 feet to clear the top of the tower, and another 1,000 feet to follow safety protocol, making its required altitude 20,000 + 1,000 + 436 = 21,436 feet.

Related Questions

someone please get the answer for combining B and C

Answers

the answer I put I'm not to confident with so I'm changing it to this bc I don't want anyone to get the wrong answer.

Please solve this for me

Answers

Answer:

Step-by-step explanation:

the answer is F trust

Lian buys 10 packs of batteries. C batteries are sold in packs of 6. AAA batteries are sold in packs of 8. Lian buys 72 batteries in all. Let x be the number of packs of C batteries. Let y be the number of packs of AAA batteries. Write an equation to find how many packs of each type of battery Lian buys.

i need this right awayyy just the equation pleaseeee

Answers

Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices

a 1040 members

b 114 members

c 110 members

d 204 members

Answers

A 1040 is the answer

if 100g can make 24 cakes, how much flour is needed to make 48?

Answers

Answer:

200g

Step-by-step explanation:

24x2=48

100x2=200

Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?

Answers

Answer:

Rhombus

Step-by-step explanation:

This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.

On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer

look at triangle ABC
ABD is an isosceles triangle where AB=AD

work out sizes of angle x,y and z

Answers

Answer:

Step-by-step explanation:

x+110=180

x=70 degrees

y+40+110=180

y=30 degrees

z+70+90=180

z=20 degrees

WILL MARK BRAINLIST!!!!!!!!!

Answers

You are correct, 153 in^2.

A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?

Answers

Answer:

75 student tickets and 10 chaperone tickets

Step-by-step explanation:

First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).

85 / 17 = 5

Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.

15 x 5 = 75 for students

5 x 2 = 10 for chaperones

1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8

Answers

The answer is the middle option. It is ideal to solve using substitution for x in this system of equations.

Give two solutions of the inequality: p ≤ 3

Answers

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.

Answers

Answer:

it would take 12.5 or 12 and a half years

Step-by-step explanation:

What inverse operation do you use to solve for m?

11=m - 4

Answers

Answer:

I would use addition

Step-by-step explanation:

Since addition is the opposite of subtraction.

Answer:

Addition

Step-by-step explanation You would use addition because you can cancle out the numbers that way

Please help.
Algebra.

Answers

The first one is -3 and the second one is 4. You gotta remember the rule where a^-x would be 1/a^x.

I NEED HELP ASAP!!!! PLZ!!!!

Answers

Answer:

10.1

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

Mr. Smith decided to regularly wash his head with an antidandruff shampoo every three days. He began on January 1st, 2017 on Saturday. On what day of the week will he wash his head for the last time in 2017?

Answers

Answer:

If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)

Step-by-step explanation:

help me out, please!

Answers

Answer:

y = 2/3(x - 3)

Step-by-step explanation:

slope of the line is 2/3

we can use point (3,0)

formula: y - y = m(x - x)

y - 0 = 2/3 (x - 3)

y = 2/3(x - 3)

A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?

Answers

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

Similar rectangles

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

100 / w = 72 / 30

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

learn more on proportion here: https://brainly.com/question/582443

A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?

Answers

A= 50. 2.5+10= 12.5/2= 6.25x8= 50

Answer: 50 inches

Step-by-step explanation:

HELP ASAP PLEASE!!!

What is the degree measure of ABC given that A=25 & C=135?

Answers

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

= 110°

Therefore, measure of angle ABC is 110°.

The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?

Answers

Answer:

There were 176 pitchers at the camp.

Step-by-step explanation:

Given that,

The ratio of pitchers to catchers at a baseball camp was 11:4.

Let pitchers be 11x and catachers be 4x.

Total catchers = 64

4x = 64

x = 16

So,

Pitchers = 11x

= 11(16)

= 176

Hence, there were 176 pitchers at the camp.

It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?

b.) What is the y- intercept and what does it represent in the context of this problem?

Answers

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Find the mean of the following set of data: 12, 8, 7, 12, 6

Answers

Answer: 9

Step-by-step explanation:

12 + 8 + 7 + 12 + 6 = 45

There are 5 numbers

45 / 5 = 9

Answer:

mean = 9

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9

The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.

Answers

Answer:

1,436.8

Step-by-step explanation:

Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.

Answers

Y=31.2
X=15.6

I rounded both to the nearest tenth place.

Answer:

Step-by-step explanation:

here is how you find the answer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now apply the above rules to the given triangle

where we are given the angle of 30° and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values as follows

so use CAH Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)

Hyp = 27 * 2 / [tex]\sqrt{3}[/tex]

Hyp = 54 / [tex]\sqrt{3}[/tex]

y = 54 / [tex]\sqrt{3}[/tex]

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex] )

Sin(30) * 54 / [tex]\sqrt{3}[/tex] = Opp

1/2 * 54 / [tex]\sqrt{3}[/tex] = Opp

27 / [tex]\sqrt{3}[/tex] = Opp

x = 27 / [tex]\sqrt{3}[/tex]

PLS PLS PLS PLS HELP!
Brainliest! Due in 15 mins! Please!

f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=?

Answers

Answer:

-10

Step-by-step explanation:

(-6)+(-4)

simplify the expression 3x -2y+6-6x+5y-8

Answers

Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

you combine like terms

therefore the answer is -3x+3y-2

If P is the incenter of triangle JKL, find PJ.

Answers

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22 (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

What is incenter?

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO (by SAS rule)

JM = JO (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

A proportional relationship always starts at zero when the independent variable is zero.

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