Answer: x=7
Step-by-step explanation:
Answer:
X=7 is correct via a p e x
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
https://brainly.com/question/14361606
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Answer:
62 degrees
Step-by-step explanation:
HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees
So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.
We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.
Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.
Or, using theorems, there is an easier way to do this.
The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.
:)
Which number below is greater than 9 but less than 10? A. √ 45 B. √ 80 C. √ 85 D. √ 100
Answer:
C: 85
Step-by-step explanation:
its about 9.2
Need help with 9th-grade math. Algebra 1
A ball is thrown in the air. The path of the ball is represented by the equation h=-t^2+8t, where t represents time in seconds and h represents the height of the ball in meters.
What is the maximum height of the ball?
How long is the ball in the air for before it hits the ground?
Answer:
a) 16 meters ; b) 8 seconds
Step-by-step explanation:
The function can be represent with a parabola whose vertex is its maximum point
for answer the first question we have to find the y of the vertex
first of all we have to find the x
Vertex (x) = -b/2a = -8/-2 = 4
if we substitute t with 4, we can find the y
Vertex (y) = -(4^2) + (8*4) =
= -16 + 32 = 16
so the answer is 16 meters
for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:
-t^2 + 8t = 0
t^2-8t = 0
t(t-8) = 0
t = 0
t = 8
the parabola intercept the x axis in (0,0) and in (8,0)
if we find the distance between this two points we can answer to the question
8-0 = 8 seconds
Answer:
y are you ga
Step-by-step explanation:
What number must be divided by 15 3/4 so that the quotient is 60?
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)
Answer:
Sine angle A = 1,050 / 2,800
Sine angle A = .375
arc sine (.375) = Angle A
Angle A = 22.024 Degrees
(THIS REPLACES THE PREVIOUS ANSWER.)
Step-by-step explanation:
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
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Answer:
B. 25%
Step-by-step explanation:
Total 16 students
4 scored above 90
so 4/16= 0.25
Answer: 25%
plz mark me as brainliest.
In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?
Answer:
There is no graph
Step-by-step explanation:
Does anyone know how to do this
a1=9
a_n= a_n-1 -4
Helllllllpppppp ASAP
Answer:
D.B
Step-by-step explanation
40+35= 75+105= 180
(edited)
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.
Answer:
I belive it is Parellelogram
Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay
Answer: c. during several storms, there were five hours of delay for every eight hours of rain
Step-by-step explanation: i just had this question
Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.
Answer:
4.8
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
(12/10)5 = 6 weeks
pls help to solve this
Answer:
[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]
✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :
A ( 8 , 10 ) ⇢A' ( 8 , -10 )
☄ Hope I helped! ♡
☃ Have a wonderful day/ night ! ♨
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
now
we have
P(x,y)⇢reflection under x axis⇢P'(x,-y)
P(8,10)⇢reflection under x axis⇢P'(8,-10)
for point (8,10) image is:(8,-10).
Does anyone know the answer to question 6?
Answer:
35
Step-by-step explanation:
HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
Answer:
Part A
C. 7.25Part B
B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.Step-by-step explanation:
Given data:
299, 281, 285, 269, 280, 269, 286, 287Part AFind the mean of the data above:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282Find absolute deviations, an absolute value of the difference of data and the mean:
299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5Find mean absolute deviation:
(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25Correct choice is C
Part BLess mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
Find the slope of the line that passes through points (4,5) and (3,-4)?
Answer:
slope=9
Step-by-step explanation:
whole equation=y = 9x – 31
hope that helps
please mark as brainliest if correct
thank you
have a great day/night
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.
B. What is the surface area of Zara's sandwich? Show your work.
C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.
number 2 and number 3
If 4c + 10= 20 -16c, what is 8c?
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
5x +3=8 i need the value of x
Answer: x=1
Step-by-step explanation:
5x+3-3=8-3
5x=5
5x/5x=5/5x
x=1
I need some help on this question
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.
Step-by-step explanation:
So as to say that irrational numbers can't be a squared root because of there decimals.
what’s the value of x
a. 25°
b. 50°
c. 55°
d. 75°
e. 80°
Answer:
7 × 5 × 8 + 25% of 996 (a) 25 (b) 13 (d) 17 (e) 23 70. ... If maximum marks for each subject are 100 then find what percentage of total marks ... Then find the value of X ? (a) 6 months (b) 9 months (c) 8 months (d) 7 months (e) 10 months 79. ... Maths Paul 75 65 90 55 Aditya 70 85 60 Neeraj 80 50 85 95 Sandy 55 65 70 65 71.
Step-by-step explanation:
Please Help me with the questions in the picture
Answer:
Dave and Anna:
1. Income highlight:
combined take home pay of $900/week
Total income: 4(900) - because 4 weeks in most months = $3600
-----------------------------
2. Expense highlights:
bi-weekly mortgage of $675
property taxes of $1800
Car expenses $160
Car insurance: $128
House insurance: $35
Saving for kids: $200
-------------
Expense calculations:
Mortgage bi-weekly = 675 x 2 = $1350/month
Property taxes = 1800/12 months/year = 150/month
everything else is already monthly
1350 + 150 + 160 + 128 + 35 + 200 = 2,023
---------------------------------------
income - expenses
$3600 - 2023 = $1,577 surplus
-----------------------------------------------------------------------------
Jacob:
Income highlights:
Canada Pension Plan $848/month
Old Age Security: $484/month
Total income: $1332
--------------------------
Expense highlights:
property tax: $3000/yr = $250/month
burial expenses: $100/month (for 6 more months)
golfing: $500/year = $41.67/month
bowling: $100/year = $8.33/month
Total expenses: 250 + 100 + 41.67 + 8.33 = 400
-----------------------------
Income - expenses:
1332 - 400 = $932 surplus
(PLEASE HELP)
Find the area of the triangle.
Answer:
3.15km²
Step-by-step explanation:
A = bh/2