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]
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Answer:
-7
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
b = t + 45
Step-by-step explanation:
Position of hot air Ballon = 45 meters above tall seat building ;
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Hence,
b = t + 45
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Answer:
Area=Base length x Height
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3(2 + 4) = (3•2)+(3•4) is an
example of which property?
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Answer:
Distributive Property
Step-by-step explanation:
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2x+8x+28+6x+12
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Answer:
merhabalar !
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Without using a calculator, evaluate 3675° - 3680 x 3670 by using special algebraic
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Answer:
13,505,599 good luck
Answer:
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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
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Step-by-step explanation:
trust me
HELPP PLZZ
ASAP TYYY
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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!
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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
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
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Answer:
Step-by-step explanation:
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Answer:38400000000
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Answer:
9
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
17
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Responder:
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Answers
Answer:
0, one solution
Step-by-step explanation:
Answer:
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Answers
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the slope eliminates some options right away :
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Here is ur answer!!!! have a nice day ahead...
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Answer:
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Step-by-step explanation:
Select the equivalent expression.
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Answers
Answer:
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Step-by-step explanation:
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hey! i’ll give brainliest help thanks
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Answer:
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Step-by-step explanation:
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
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10 = x
x = 10
So she got 10 correct and 10 incorrect, and there were 20 questions in all.