The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standing at a horizontal distance of 100 m and sights the top of the hill using an angle of 17°. i) Let ‘h' represent the height of the hill and ‘d' represent the horizontal distance. ii) Set up the appropriate trigonometric ratio to determine the height of the hill. iii) Replace the variables with the appropriate values.
Answers
Answer:
[tex](a)\ h = d * \tan(\theta)[/tex]
[tex](b)\ h = 30.57m[/tex]
Step-by-step explanation:
Given
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
[tex]h = ??[/tex]
See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:
[tex]\tan(\theta) = \frac{h}{d}[/tex]
Multiply both sides by d
[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]
[tex]d * \tan(\theta) = h[/tex]
Rewrite as:
[tex]h = d * \tan(\theta)[/tex]
Solving (b): The value of h
We have:
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
So:
[tex]h = 100m * \tan(17^o)[/tex]
[tex]h = 100m * 0.3057[/tex]
[tex]h = 30.57m[/tex]
Related Questions
As head of the Parks Department, Jada has been tracking the park’s use of different supplies over the last several years. Her research shows that, up through last year, the park’s total water usage per year was 13,505 gallons for all regular days, plus another 18.5 gallons for each special event hosted by the park. How many special events did the park host last year? Show your work.
Answers
Answer:6 events
Step-by-step explanation:
13505+ 18.5x =13616
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answers
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
simplify
√(8+2√15)
Please hurry
Answers
Decimal form is 3.96811878
HELPP PLZZ
ASAP TYYY
Answers
Yes, this parabola is a function because it passes the vertical line test!
The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!
Hope this helps!! :)
I need help... how to simplify this ?
Answers
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something
Step-by-step explanation:
hope this helps if so mark it brainliest and if you want join meeting
What is the area of a rectangle whose side lengths are o and g?
Answers
Answer:
Area=Base length x Height
Area= O x g.
What point is the intersection of the graphs of the line x−y=12 and x+y=−10 ?
Answers
Answer:
(1, -11)
The correct answer is B
hey! i’ll give brainliest help thanks
Answers
Answer:
A government by the people
Step-by-step explanation:
what is 200x400x600x800
please help i'm beggin
Answers
Answer:38400000000
Step-by-step explanation: I just do it like 2 numbers i just write it down like a line it is kind of hard you could do it an easier way but i like doing it like that :)
PLEASE HELP QUICK ITS TIMED
Dawson has 3 more tokens than twice the number of tokens that Rachel has. Dawson has
21 tokens. What is the total number of tokens Rachel has?
Answers
Answer:
9
Step-by-step explanation:
I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.
Answer:
9 divided by 21
Step-by-step explanation:
17
Select the equivalent expression.
Umm so yeah... happy pride month royals!
Answers
Answer:
Step-by-step explanation:
The first answer is correct because you are really not changing anything about the question
Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)
Answers
2x+8x+28+6x+12
16x+40
16x+40 would be the answer you can’t solve it any further
Answer:
merhabalar !
HAVE A NİCE DAY
The topic is about secant tangles angles
Answers
Answer:
x = 42
Step-by-step explanation:
The tangent- tangent angle is half the difference of the intercepted arcs.
LN (major) = 360 - 138 = 222 , then
x = [tex]\frac{1}{2}[/tex] (222 - 138) = 0.5 × 84 = 42
Two dice are rolled
simultaneously.
Find the probability of getting
same number on both the dice.
Answers
Answer:
Here is ur answer!!!! have a nice day ahead...
Decide if 7x+3=4x+3 has no solution, one solution, or infinitely many solutions
Answers
Answer:
0, one solution
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
7x+3=4x+3 only has one solution which is x = 0.
Hope this helps! :)
Try using symbolab if you're confused
anyone know this ♀️ ??
Answers
Answer:
B. 4 cups
Step-by-step explanation:
trust me
need help on this plz
Answers
Answer:
Step-by-step explanation:10
Bc you times
Answer:
5.4 feet
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
5^2 + 2^2=
25+4=29
√29 = 5.385....
About 5.4 feet
O salário mensal de um vendedor é de R$ 750,00 fixos mais 2,5% sobre o valor total em reais, das vendas que ele efetuar durante o mês. Em um mês em que suas vendas totalizaram x reais, o salário do vendedor será dado pela expressão: *
Answers
Responder:
750 + 0,025X
Explicação passo a passo:
Dado que :
Rendimento Fixo = R $ 750
Ganho variável = 2,5% das vendas totais
Se vendas totais em um mês = x
O valor total ganho = custo fixo + variável
Custo variável = 2,5% * x = 0,025X
Custo total: 750 + 0,025X
Isis works at a restaurant. Today, it takes him 16 minutes to fold 40 napkins. He plans to fold napkins for 30 minutes tomorrow. If he works at the same rate, how many napkins will he fold tomorrow?
Answers
A hot air balloon is 45 meters above the tall seat building in a city write a equation to show the height b of the balloon if the building is t meters tall
Answers
Answer:
b = t + 45
Step-by-step explanation:
Position of hot air Ballon = 45 meters above tall seat building ;
Height of tall seat building = t
Height of Ballon, b = height of tall seat building + 45 m
Hence,
b = t + 45
How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution
Answers
Answer:
The correct answer is "4.5 liters". A further explanation is provided below.
Step-by-step explanation:
Let the solution needed be "x".
then, according to the question,
⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]
By solving the above expression, we get
⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]
⇒ [tex]0.04 x=0.54-0.36[/tex]
⇒ [tex]0.04x=0.18[/tex]
⇒ [tex]x=\frac{0.18}{0.04}[/tex]
⇒ [tex]=4.5 \ liters[/tex]
Without using a calculator, evaluate 3675° - 3680 x 3670 by using special algebraic
identities.
Answers
Answer:
13,505,599 good luck
Answer:
3675
3680-
0015
3670
15
18350
3670+
1202
People were surveyed about the types of pets they own and their housing situation. Each person has only one pet. For people who live in a condo, what is the relative frequency with which a person owns a cat?
Answers
Answer:
The answer is 6.3
Step-by-step explanation:
3(2 + 4) = (3•2)+(3•4) is an
example of which property?
Answers
Answer:
Distributive Property
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answers
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
How do you solve (-10) - (-3)
Answers
Answer:
-7
Step-by-step explanation:
-10 - -3
- 10 + 3
-7
(a double negative becomes a positive)
Answer:
-7
Step-by-step explanation:
a. y-4=1/4(x-4)
b. y-12=1/4(x-6)
c. y-12=4(x-6)
d. y-6=4(x-12)
e. y-4=4(x-4)
f. y-6=1/4(x-12)
Answers
Answer:
f. y-6 = 1/4(x-12)
Step-by-step explanation:
the slope eliminates some options right away :
slope = y/x = 1/4, because x has to increase by 8 units for y to increase by 2 unit (or then simplified 4 units for 1).
so, we only need to look at equations with 1/4 as factor of x.
a. covers (12,6) but not (4,4) - wrong
b. covers none of the 2 points - wrong
c., d., e. have the wrong slope
f. is right. for x=12 y is then 6. for x=4 y is then also 4. correct !
In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?
Answers
x = number of questions
3y = points for a correct answer
-1x or -x = points for an incorrect answer
Adding up the correct and incorrect points/answers gives us the final score. We can solve to see how many questions were incorrect. (We are told 10 were correct)
3y + (-1x) = 20
3(10) + (-1x) = 20
30 - x = 20
10 = x
x = 10
So she got 10 correct and 10 incorrect, and there were 20 questions in all.
-20 integer whole number irrational or rational etc
Answers
Answer:
The number -20 is rational
Answer:
the answer is irrational!
Step-by-step explanation:
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend total (dinner + tip)?
Answers
Answer:
$35.44
Step-by-step explanation:
We can use a proportion to solve this problem
20 : 100 : x : 29.53
x = (29.53*20)/100 = $5.906 (value of the tip)
total cost = 29.53 + 5.906 = $35.436 = $35.44