A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?
Answers
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
We can use ratio sine here. Let the angle of elevation be theta.In ∆ ABC :-
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
Hence the angle of elevation is sin -¹ ( 10/11).
Related Questions
During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewer. How many pages per night is Tori averaging now?
Answers
Answer: 38 pages per night
Step-by-step explanation:
Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.
To find the number of pages she is reading now, first find 5% of 40 pages:
= 5% * 40
= 2
Then subtract this figure from 40:
= 40 - 2
= 38 pages per night
By deducting 5% from the reading quantity, the person is reading at 5% less.
Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?
A. Trapezoid
B. Square
C. Triangle
D. Pentagon
Answers
The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A
How does a Trapezoid look like?A trapezoid is a four-sided flat polygon.
It has two parallel sides that has different lengths. The other two sides are non-parallel and also does have lengths.
A trapezoid has four angles, two of which are acute and two of which are obtuse.
A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.
The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.
| o o
|
|
|
|
|
|
|o___________________________o_
If you connect the "o" which represents the coordinates, you will draw a Trapezod.
Find more exercises that include a Trapezoid:
https://brainly.com/question/8643562
#SPJ1
The diagram shows a triangle.
What is the value of z?
Answers
Answer:
z=31°
Step-by-step explanation:
32°+117°+z=180°{ sum of angle of triangle}
z=180-149
z=31°
stay safe healthy and happy.Answer:
31 degrees = x
Step-by-step explanation:
a triangle's sum is 180 degrees
let's form an equation that allows us to work backwards and find this
add the other two angle measures to x and let the sum be 180
32+117+x=180
31 is the difference and therefore the missing angle measure
What is 2 2/3 in radical form step by step
Answers
Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
L = 150
Step-by-step explanation:
y intercept: when x = 0
Plug in x = 0 into the equation.
L = 150
This means that Parker has not yet begun to pay his friend.
25 pts, please help ASAP
A = 84 + 2t.
Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.
Answers
Answer:
5t - 2t = 84 - 54
3t = 30
t = 30/3
t = 10.
hello please help i’ll give brainliest
Answers
Answer:
it is the second answer choice
Answer: B
Step-by-step explanation:
interaction between two different organisms living in close physical association, typically to the advantage of both. each termed a symbiont, must be of different species. can be defined as any kind of relationship or interaction between two dissimilar I guess.
sorry if im wrong
Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out. Which amount is the most reasonable approximation of the total price of the 5 books?
Answers
Answer:
35 is a reasonable amount
Step-by-step explanation:
Since all of the books cost around $7 and there are 5 books
when you multiply 7x5=35
help me with my math please
Answers
Answer:
You answer is B i believe. If it is not, then it is A. I know for sure it is not C or D.
Step-by-step explanation:
can ace and expert help me in which number does 7 resent 10 times the value that it respesnts in 167 300
Answers
Answer:
D
7k*10=70k
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Because it is in the 4th place and x 10 moves it over 1 so in 5th place then
You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.
Answers
x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast
Tan(x) = opposite/adjacent
tan (59) = opposite/ 45
tan(59) x 45 = opposite
opposite = 74.893
The height of the light house (from sea level) is 75 foot.
Help me please |7-11|=
Answers
Answer:
-4
Step-by-step explanation:
7- 11= -4
Answer:
4, 7-11=-4, but absolute value cant be negative
Step-by-step explanation:
The value of a new car depreciates (loses value) in many ways. First, a new car can depreciate in value once it is purchased and driven off the car lot. After that the value of a car depreciates each year because it is one year older. Let's consider two different cars:
Car A Car B
Purchase Price $30,000 and $25,000
Precent of Initial Depreciation
20% 10%
Yearly Depreciation $2,000 $1,500
Based on the data answered in the previous three questions, write an equation to predict the value of Car A and Car B at the end of t years.
Car A: V =
t +
Car B: V =
t +
Answers
Answer:
Your car's value decreases around 20% to 30% by the end of the first year. From years two to six, depreciation ranges from 15% to 18% per year, according to recent data from Black Book, which tracks used-car pricing. As a rule of thumb, in five years, cars lose 60% or more of their initial value.
Step-by-step explanation:
Find the length of the missing leg of a right triangle given a leg of length 60 and a hypotenuse of length 61
Answers
Answer:
11 units
Step-by-step explanation:
61² - 60² = x²
3721 - 3600 = 121
√121 = 11
find the measure of angle R
Answers
Answer:
R=(180-100)/2=40.
Step-by-step explanation:
Answer. Answer: (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case the sum of the angles will be more than 180 degrees) then the other two angles, R and S, are equal: R=(180-100)/2=40.
help uhhhhhh please ye
Answers
Answer:
d= 90 degrees
e= 66 degrees
f= 114
Step-by-step explanation:
D is 90 because the measure of the angle on the line is 180 and it shows that the other angle is 90 and 180- 90= 90. E is 66 because opposite angles are congruent. F is 114 because they lie on a straight line which has the measure of 180 and 180- 66= 114
Answer:
d = 90°
e = 66°
f = 114°
Step-by-step explanation:
d = 90°
e = 66°
Reason : Vertically opposite angles
Angles f and 66° are in the linear pair.
f + 66° = 180°
f = ( 180 - 66 )°
f = 114°
no wonder why u lookin all aids
Answers
Answer:
cuz im Not very smarttt
Step-by-step explanation:
at all
how do you find a radius, btw just give me a quick simple answer to read lol
Answers
Dave made two boxes. The sides of the second box are each of the sides of the first box How are the volumes of the two boxes related?
Answers
Answer:
1/9
Step-by-step explanation:
I figured it out
= 1 cubic ft
What is the volume of the solid figure? Enter the answer in the box.
Answers
Answer:
800
hope this helps
Suppose an Oklahoman comes to Texas to go turkey hunting. He takes up camp 150 meters from the base of a cliff. When he sees a turkey he raises his shotgun, shoots, but misses (being a poor shot). He notices that he hears the echo of his gun off the cliff. How much time (in seconds) passes after the shot before the hunter hears the echo?
(use dimensional analysis)
Answers
Answer:
thats 50
Step-by-step explanation:
solve the quadratic equation:
3x^2+x-5=0
Answers
3x²+x-5=0
a = 3, b = 1, c= -5
-> ∆ ( delta ) = b²-4ac = 61 > 0
-> x1 =( -b+√∆ )÷ 2a =...
x2 = (-b-√∆)÷2a =...
p/s: do your teachers teach you how to use ∆ ( delta ) in maths calculation ? i live in europe and our teachers teach us that way. however, it is a rịght and fast way. you should learn it.
Find the volume of the Prism (Picture Provided)
Answers
Answer:
volume = 84
Step-by-step explanation:
simple: volume = base x height
6 x 14 = 84
Janelle sells necklaces and bracelets online. She sells each necklace for $16 and each bracelet for $12. What expression represents the total amount of money Janelle made last month from selling a necklaces and bracelets
Pls help
Answers
Answer:
Y = 16a + 12b
Step-by-step explanation:
Given:
Cost of each neckless = $16
Cost of each bracelet = $12
Find:
Equation for the following state
Computation:
Assume;
Number of neckless sale in a month = a
Number of bracelet sale in a month = b
Total amount she earn = Y
So,
Total amount she earn = (Cost of each neckless)(Number of neckless sale in a month) + (Cost of each bracelet)(Number of bracelet sale in a month)
Y = (16)(a) + (12)(b)
Y = 16a + 12b
If 2/3x - 1 = 4, then x =
Answers
Answer:
7.5
Step-by-step explanation:
2/3 x 7.5 = 5
5 - 1 = 4
A car wash cleaned 38 cars in 2 hours. At this rate,
how many cars can it clean in 7 hours?
Answers
Answer:
133 cars in 7 hours
Step-by-step explanation:
divide 2 and 38 wich is 19 so its 19 cars per hour so now 19 times 7 and get 133 plz mark brainliest
Answer:
I am no mathematician but i would say 133cars
Step-by-step explanation:
I first divided 38 by 2 which gave me 19 so on the average they cleaned 19 cars an hour
I then multiplied 19 by 7 giving me 133
Hope this works!!!
Which shape has a perimeter of 18 inches?(1 point)
Answers
Answer:
d
Step-by-step explanation:
i need help on this problem with steps please :((
Answers
Answer:
Log (1/x) = –0.9925
Step-by-step explanation:
From the question given above, the following data were obtained:
Log x = 0.9925
Log (1/x) =?
Recall,
Log (M/N) = log M – Log N
Thus,
Log (1/x) = Log 1 – Log x
Recall
Log 1 = 0
Log x = 0.9925
Thus,
Log (1/x) = Log 1 – Log x
Log (1/x) = 0 – 0.9925
Log (1/x) = –0.9925
Find the surface area of the prism.
Answers
Answer:
508
Step-by-step explanation:
Answer:
Surface area = 508
Step-by-step explanation:
Width = 11
Length = 4
Height = 14
Equation: 2(lw+lh+wh)
2(4•11+4•14+11•14) = 508
which point is best represented by the ordered pair (2,-5.5)
Answers
Answer:
Point W best represented by the ordered pair (2,-5.5)