A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of depression of the two trucks from the helicopter are 60° and 20°. How far apart are the two trucks?
Answers
Answer:
1045.01 rounded to the nearest hundredth
Step-by-step explanation:
First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.
If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.
Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500
tan(60) = x/500
multiply both sides by 500 to isolate the x
tan(60) * 500 = x
x = 866.0254
Similarly, with side y, we can say that tan(20) = y/500 and
tan(20) * 500 = y
y= 181.9851
The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth
Related Questions
Victor had dozen boxes, with n number of water bottles in each box. After removing dozen bottles, there were 84 bottles. Find the number of bottles in each box.
Answers
Answer:
Number of bottles in each box = 8
Step-by-step explanation:
Given:
Number of boxes = 12 boxes
Number of bottle in each box = n
Number of bottle remove = 12
Number of bottle remain = 84
Find:
Number of bottles in each box.
Computation:
Total bottle = (Number of boxes)(Number of bottle in each bo)
Total bottle = 12n
12n = 12 + 84
12n = 96
n = 8
Number of bottles in each box = 8
Answer:
The number of bottles in each box is 8.
Step-by-step explanation:
Number of boxes = a dozen = 12
Number of bottles in each box = n
Total number of bottles = n x 12 = 12 n
12 bottles are removed
number of bottles
12 n - 12 = 84
12 n = 96
n = 8
So, the number of bottles in each box is 8.
HELPP!!
What is the approximate sum of this series?
Answers
Answer:
The answer of this question is 134.83
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answers
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
PLEASE HELP I DONT UNDERSTAND
Write the equation of the line in slope-intercept form that is perpendicular to y = x - 2 and that
passes through the point (6,-5). Show all of your work.
Answers
Answer:
y = -x + 1
Step-by-step explanation:
eqn of line: y=mx+c
perpendicular, m1 x m2 = -1
m × 1 = -1
m = -1
y=-x+c
sub x=-5, y=6
6 = -(-5) +c
6 = 5 + c
c = 1
y = -x + 1
At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answers
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
SOMEONE HELP ME PLEASE
Answers
A standard die has numbers = 1,2,3,4,5 and 6
Total outcomes = 6
P = Number of outcomes/Total Outcomes
Even and less than 4 = 1,2,3,4 and 6
P = 5/6
Answered by GauthMath if you like please click thanks and comment thanks
If 65% of a number is 1105 what is 82% of the number
Answers
Answer:
1394
Step-by-step explanation:
Set up equation to find the number:
Variable n = number
65/100 = 1105/n
Cross multiply:
65 × n = 100 × 1105
65n = 110,500
n = 1700
Check your work:
1700 × 65%
Convert percentage into decimal:
1700 × 0.65
1105
Correct!
Find 82% of 1700:
Variable x = 82% of 1700
82/100 = x/1700
82 × 1700 = 100 × x
139,400 = 100x
1394 = x
Check your work:
1700 × 82%
1700 × 0.82
1394
Correct!
The 82% of the original number (1700) is approximately 1394.
Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:
65% of N = 0.65 * N = 1105
Now, to find the value of N, we can rearrange the equation to solve for N:
N = 1105 / 0.65
Now, calculate the value of N:
N ≈ 1700
So, the original number N is approximately 1700.
Next, we need to find 82% of this number. We can express this as:
82% of N = 0.82 * N
Now, substitute the value of N:
82% of 1700 = 0.82 * 1700
≈ 1394
Thus, 82% of the original number (1700) is approximately 1394.
To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.
To know more about Equation here
https://brainly.com/question/711282
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Finding the missing length in a figure
Answers
Answer:
11
Step-by-step explanation:
because you have to add 5+6=11
How much is 3p-4p+r less than 4p+3q-5r
Answers
Answer:
3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .
Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then
3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x
x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)
x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r
x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r
x= p + 7q - 6r→x=p+7q−6r
Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .
Answer:
5p+3q-6r
Step-by-step explanation:
4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r
if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r
Find dy /dx of x² - 2x + 5 - 6x
Answers
Answer:
Step-by-step explanation:
If [tex]y=x^2-2x+5-6x[/tex] then
[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).
[tex]\frac{dy}{dx}=2x-8[/tex]
Which angles are adjacent to each other?
Angle 8 and Angle 4
Angle 3 and Angle 6
Angle 2 and Angle 7
Angle 4 and Angle 3
Answers
Answer:
<4 and <3
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
I hope this helps.
Answer:
angles 4 and 3
Step-by-step explanation:
its the right answer
pls somebody help me wth this
Answers
Answer:
8 puzzles, and 840 pieces
Step-by-step explanation:
420 / 4 = 105
630 / 6 = 105
Option 2 is the correct answer,
Reason
840 / 8 = 105
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answers
Find a if ZB = 25°, ZC = 48°, AC = 5.
Answers
Answer:
11.3
Step-by-step explanation:
a = AC × sin(A)/sin(B)
Now <A =180-25-48 = 107
a = 5×sin(107)/sin(25)
a ≈ 11.3
Answered by GAUTHMATH
Lila uses craft sticks to make stars for an art project. She uses 5 craft sticks for each star,and she has 19 craft sticks. Lila makes as many stars as she can how many stars does Lila make?
Answers
Answer:
3
Step-by-step explanation:
5×3=15 she would have 4 left but can't make a full star
The yearly income of a family was Rs. 5,00,000. Tax was exempted upto Rs. 1,50,000. If the tax for the first Rs 20,00,000 was 10 % and for the rest was 15%, find how much amount of income tax will be paid in a year?
Answers
Answer: Rs. 35,000
Step-by-step explanation:
The taxable income is:
= Yearly income - Tax exemption
= 500,000 - 150,000
= Rs. 350,000
The tax on the first Rs. 2,000,000 is 10% which means that tax is:
= 350,000 * 10%
= Rs. 35,000
The diagram shows the floor of a room. The carpet used to
cover the floor costs $5.25 per square foot. How much will
it cost to carpet the entire floor?
Answers
Answer:
3rd option, $672
Step-by-step explanation:
The area is,
(4×12)+(8×10)
= 128
per square foot it costs $5.25, so the total cost will be,
128×$5.25
= $672
Answered by GAUTHMATH
HELPHELPHELPHELPHELP
Answers
Answer:
2¼ mph
Step-by-step explanation:
It takes ⅓hour to walk to the library.
⅓ •3 = 1 hour
¾ • 3 = 9/4 = 2¼ miles/hour
find the area of the following composite figure
Answers
Explanation:
square: 4x4=16
Two half circles = one whole circle
Area of a circle is (pie x r^2)
R=radius; the radius is 4/2=2
Pie x 2^2=4pie
4pie=12.6
12.6 + 16= 28.6 square inches
pls for the LOVE OF GOD. i can't do graphs
Answers
Answer:
Second Option
Step-by-step explanation:
We need to graph the equation
[tex]y = \frac{2}{3} x - 1[/tex]
The -1 represent the y intercept. So our y intercept will be at (0,-1).
We then would move up 2 and right 3 units because that represent our slope. So the second option.
Find the value of x.
Answers
Answer:
x=8
Step-by-step explanation:
(3x-8)/1=4x/2. 3x-8=2x, x=8
Carlos and his friend are sharing some leftover pasta. If 1/4 of the pasta is left, how much will they each get?
Answers
Answer:
1/8 of the whole pasta or 1/2 of what's left
Answer:
each of them would get an 1/8 (if it is 2 people)
Step-by-step explanation:
|x-2| + |x+1| - 5 = 0
Answers
Answer:
x= 3 or x= -2
I hope this helps
(x-2)+ x = 5 + 1
x + x = 6 - 2
x + x = 4
x = 2
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answers
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
A rectangular shape of dimension 95 m by 75 m is drawn to a scale of 1 cm to 10 m . Find the area of the drawing
Answers
Answer:
71.25
Step-by-step explanation:
That's the answer
Please help explanation if possible
Answers
Answer: y= 1x+1
Step-by-step explanation:
The slope- intercept form is y=mx+b.
m is the slope(rise over run) and b is the y-intercept.
With this knowledge and the graph, m is 2/2 or 1, and b is 1.
Help me solve this pls
Answers
Answer:
BC=40.16479
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 17 = BC / 42
42 cos 17 = BC
BC=40.16479
Decide whether the graphs of the given euqations are parallel perpendicular or neither
Answers
Explanation:
Each equation given to you is in y = mx+b form (aka slope intercept form).
The slope m is what we'll focus on.
The first equation has slope of 1, while the second equation has slope -1.
The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.
Or you could note that -1 is the negative reciprocal of 1, or vice versa.
So there are a few options to see why the lines are perpendicular.
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answers
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
PLS HELP AND GET IT RIGHT IM ACTUALLY FAILING AND DONT WANNA FAIL MORE ITS PYTHAGOREAN THEOREM
Answers
Answer:
A = 10
Step-by-step explanation:
Use formula: c = sqrt of a^2 + b^2
1) Put in known numbers:
26 = sqrt of a^2 + 24^2
But instead of adding you would subtract and rearrange the formula bc you already have C:
2) Solve:
A = sqrt of 26^2 - 24^2
A = sqrt of 676 - 576
A = sqrt of 100
A = 10
Sqrt: square root
Therefore, out answer… I hope this helps! Best of Luck! (\^ v ^/)
