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
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...
Related Questions
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.
1) 9 × 0 + (-80) + 8 = ?
Answers
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
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
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
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:
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
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
-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.
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
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
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
https://brainly.com/question/28177534
#SPJ2
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°.
If mCA = 50° and mER = 40⁰, what is the m∆CSA ?
Answers
Answer:
45°Step-by-step explanation:
Given:
mCA = 50° mER = 40⁰Angle 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°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.
help me plz hey the answer questions
Answers
Answer:
The area of the triangle is 30The triangle is a scalene triangleStep-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:
x²-2/p(p²+1)+4
What is the value of factor
Answers
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
solve pls brainliest
Answers
Answer:
3421
Step-by-step explanation:
3421 the order the tiles are in
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
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 3List 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:
PLS HELP ME!!! I really need help with this!!! Pls give me an honest answer my teacher is going to grade this.
Answers
(12.3x7) + 15 + 10.5 = total length
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
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:
https://brainly.com/question/13585407
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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
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.
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.
Help algebra 2 please
Answers
Answer:
i just need point im so sorry only in Geomotry
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
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