A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km

Answers

Answer 1

Step-by-step explanation:

altitude here is represent by height ok in this case...

if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...

and the information from the question just sun it into the tan formula...this is trigo...

then u add the value to get the total distance..

the answer is 13.87km

hope u understand...

A Plane Is Flying At An Altitude Of 6 Km Directly Over The Line AB. It Spots Two Boats, A And B, On The

Related Questions


Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.

Answers

Answer:

You haven't explained the  time for account A - we will assume 12 months or the answer is obvious:

for Acct(A) :   I = 12.5 = A1  * .04           A1 =  $312.50

for Acct(B)     I = 11.25 = A2 * .03 * 5/4 = 300

Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.

11.25 = .0375 * A2     A2 = 300

Account A will have the greater principal

1) 9 × 0 + (-80) + 8 = ?

Answers

☆Jawaban :

9 × 0 + (-80) + 8 = ?

= 0 - 80 + 8

= -80 + 8 <==> 8 - 80

= -72

~bilbul

9 × 0 + (-80) + 8

= 0 + (-80) + 8

= (-80) + 8

= -72 ✔️

:)

3) Which table does NOT represent a function?
A) A
B) B
C) C
D) D

Answers

Answer:

I think it's c pick c it's c

Answer:

the answer is d

Step-by-step explanation:

A function can not have an input with more than one outcome

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

the answer is b it is 15

At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?

Answers

Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

Help algebra 2 please

Answers

Answer:

i just need point im so sorry only in Geomotry

If mCA = 50° and mER = 40⁰, what is the m∆CSA ?​

Answers

Answer:

45°

Step-by-step explanation:

Given:

mCA = 50° mER = 40⁰

Angle formed by intersecting chords is the half the sum of arc measures formed by same chords:

m∠CSA = m∠ESR = 1/2(mCA + mER) = 1/2(50° + 40°) = 45°

Which of the ratios below has a unit rate of 5?

Answers

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)

a. -12
b. 0
c. +4
d. +12

Hi, can someone please help me with this? I’ll give branliest if i can!

Answers

The answer for this is d=12
Explanation: because they returned the ball to the 30 then they ran 12 more to get to the 42 yards
Hope this is helpful!!

The number which represents the gain as per the question is +12. Hence, option "d" is correct.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Firstly, the team returned the ball to the 30-yard line.

Then, hey ran to the 42-yard line for a gain.

Then, the number that shows the change will be,

= 42 - 30

= +12, there is gain of +12.

To know more about arithmetic operations:

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x²-2/p(p²+1)+4
What is the value of factor

Answers

p=2 or p=−1

Explanation:

The roots of a quadratic ax2+bx+c=0 are equal when the discriminant (b2−4ac) is equal to 0

In this case

a=1

b=−2p

c=(p+2)

So the discriminant is

(-2p)2−4(1)(p+2) =4p2−4p−8

which factors as

=4(p−2) (p+1)

and the discriminant

=0 if p=2 or p=−1

The length of the base of an isosceles triangle is x. The length of a leg is 5x -5. The perimeter of the triangle is 111. Find x

Answers

Answer:

x = 11

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.

In an isosceles triangle there is a base and two equal legs

Perimeter = (x)  + (5x - 5) = (5x - 5)

            111 = 11x -10

           111 + 10 = 11x

            121 = 11x

            [tex]\frac{121}{11} =\frac{11x}{11}[/tex]

               x = 11

What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + 54 + 162 + ...?

Answers

2 + 6 + 18 + 54 + ...

 This is a geometric sum and there is a way to find the sum of however many terms as you would like.

 The initial term is S1 = 2, the ratio of successive terms is r = 3.

 The sum for a geometric sequence of the first n terms is given by

 Sn = S1(1 - rn)/(1 - r)

Apply this formula for n = 10.

I really really really need help with this please I’ll give brainlist



Roy works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 1 kilogram each, and are shipped in a container that weighs 6 kilograms. Large ones, on the other hand, weigh 2 kilograms apiece, and are shipped in a container that weighs 5 kilograms. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be

Answers

for the small one there would be six small helicopters and two big ones

and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters

if it's wrong i'm very sorry i'm bad at word problems

If I add 60 to 325 and then subtract 40, the answer I get will be equal to

Answers

Answer:

345

Step-by-step explanation:

On adding 60 to 325 and then subtracting 40 the answer will be 345.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers 60, 325, and 40. The expression will be formed as below:-

E = 60 + 325 - 40
E = 385 - 40

E = 345

Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.

To know more about an expression follow

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BOOKMARK
✓ CHECK ANSWER
o
A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I

Answers

Answer:

There are 14 teachers per student

Step-by-step explanation:

students per teacher =

students / teachers

students: 84

teachers 6

84 / 6 = 14

solve pls brainliest

Answers

Answer:

3421

Step-by-step explanation:

3421 the order the tiles are in

can anyone help me please anyone

Answers

Answer:

x=104

Step-by-step explanation:

In case you didn't know, "m || n" means that line "m" is parallel to line "n".

Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.

I need help with a few questions, if you answer one that is Great too!​

Answers

Answer:

E is (5, 1)

Step-by-step explanation:

Let E be the point (x, y).

(-3 - x)^2 + ( 7 - y)^2 = 10^2   ( Pythagoras theorem)

Now 64^2 + 36^2 = 10^2 so we try:

(-3 - 5)^2 + ( 7- 1)^2 = 100

Giving x = 5 and y = 1 which looks right from the diagram.

List the sides from shortest to longest in ABC. A 630 50° с B O A. AB,BC , AC о B. BC , AC , AB C. D. AC , BC, AB not enough information O
Help Please!​

Answers

Answer:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.​

Answers

Answer:

15

Step-by-step explanation:

help me plz hey the answer questions

Answers

Answer:

The area of the triangle is 30The triangle is a scalene triangle

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain

Answers

Answer:

move 1 to the right and 8 units up

Step-by-step explanation:

Order the following fractions from least to greatest

Answers

Answer:

1/8, 2/9, 3/7, 5/8, 4/5

Step-by-step explanation:

mark brainlist

Answer: he is right I don't want to still his win

Step-by-step explanation:

mark him brainiest

PLS HELP ME!!! I really need help with this!!! Pls give me an honest answer my teacher is going to grade this.

Answers

Total length = 111.6 metres
(12.3x7) + 15 + 10.5 = total length

a car travels 30m in 2 minutes whats the speed​

Answers

Answer:

15

Step-by-step explanation:

speed is distance over time so its 30 devided by 2

Write
1

26
in index form.

Answers

Answer:

Simplify 1√26inindexform

Simplify √26.

Checking square roots, we see that 52 = 25 and 62 = 36.

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

please ehlp delta math with explanation please

Answers

Answer:

134.3

Step-by-step explanation:

In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.

[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]

You now need to find XW.

In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.

Using the Law of Sines in triangle XYZ,

[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]

Put that into the equation for XW above...

[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]

A calculator shows that this is approximately 134.3

3x−7= Can you Guys help

Answers

Answer:

not sure

Step-by-step explanation:

Answer:

x= 7

3

Step-by-step explanation:

find x by making the subject of formula

3x=7x = 7 3

-4y + 12 = -7y + 24
I’ll give Brain whoever solves
PLEASE DO IT STEP BY STEP

Answers

Answer:

y - 4

Step-by-step explanation:

subtract 12 from both sides of the equation

4y+12-12= -7y +24 - 12

-4y = -7y +24 - 12

subtract

-4y +-7y + 12

add 7y to both sides of the equation

-4y + 7y = -7y +12 + 7y

simplify

3y + -7y  +12 + 7y

combine like terms.

3y = 12

divide

3y/3

=12/3

simplify      

y=12 3

y = 4

Answer:

y = 4

Step-by-step explanation:

Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.  

Start by adding 7y to both sides of the equation:

-4y + 7y + 12 = -7y + 7y + 24

3y + 12 = 0 + 24

3y + 12 = 24

Next, subtract 12 from both sides:

3y + 12 - 12 = 24 - 12

3y = 12

Divide both sides by 3 to isolate and solve for y:

[tex]\frac{3y}{3} = \frac{12}{3}[/tex]

y = 4

Double-check whether the value of y will provide a true statement if plugged into the equation:

-4y + 12 = -7y + 24

-4(4) + 12 = -7(4) + 24

-16 + 12 = -28 + 24

-4 = -4 (True statement).

Therefore, the value of y = 4.

question below on photo pls quick

Answers

I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1

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