The height of the pole above the level of the observer's eyes is 31.42 ft
Let the angle of elevation of the top of the pole from a point 47 ft away be α.
Let the angle of elevation of the top of the pole from the point 13 ft away be β.
Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.
If the height of the pole above the level of the observer's eye is h, we have that
tanβ = tan2α = h/13 and tanα = h/47
From trigonometric identities tan2α = 2tanα/(1 - tan²α)
Substituting the values of the variables into the equation, we have
tan2α = 2tanα/(1 - tan²α)
h/13 = 2h/47 ÷ [1 - (h/47)²]
Dividing through by h, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
Cross-multiplying, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
1 - (h/47)² = 2/47 × 13
1 - (h/47)² = 26/47
(h/47)² = 1 - 26/47
(h/47)² = (47 - 26)/47
(h/47)² = 21/47
Taking square-root of both sides, we have
h/47 = √(21/47)
Cross-multiplyng, we have
h = √(21/47) × 47
h = √(21 × 47)
h = √987
h = 31.42 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
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[tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex][tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex]
Answer:21 :)
Step-by-step explanation:
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°
Please not bots due in hour!
Answer:
Range is 7 to 42
Step-by-step explanation:
Which triangles are similar?
Triangle A
34/
A
30
37
12
15
h
53
9
62
16
Triangle C
Triangle B
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles A and B
D. Triangles B and C
Triangle A and C are same because the angles formed by all three sides are same in both triangles.
Hope it helps you....
Please mark as brainlliest!!!
what is the measure of line CD. explain
Isaiah has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
He needs at least 140 points for a free movie ticket.
Write and solve an inequality that can be used to determine xx, the number of visits Isaiah can make to earn his first free movie ticket.
Inequality =
x - and _
Answer:
654
Step-by-step explanation:
You need to times the first 2 numbers nad then after that that you divide and then walaa ANSWER: 654
בוoit
HELP PLS!! no links !!!
Answer:
the correct answer is b
Step-by-step explanation:
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Factorise
x2 + 11x + 28
Answer:
[tex]\huge\boxed{(x+7)(x+4)}[/tex]
Step-by-step explanation:
To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28). Discard the x and you are left with 11 and 28.
To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7. Then, simply use those two numbers to make the terms.
Hope it helps :) and let me know if you want me to elaborate.
Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT
If you plug 7 as x into:
(2x+45)
then you get
(2(7)+45)
(14+45)
(59)
What decimal is 0.77 %
Answer:
0.0077
Step-by-step explanation:
please answer fully ?/'//////////////////////
Answer:
17.5
Step-by-step explanation:
i solved it and got that answer. hope this helps =)
Six less than the product of 8 and a number equals 2
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.
please help i am stuck
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
5
which ratio is greater than 5/8
12/24
3/4
15/24
4/12
Answer:(B)
Explanation: 3/4. Hope this helped :)
Help help help help help pleases pelass thank you
Answer:
a' (-6,7) b' (-5,3) c'(-2,4)
Step-by-step explanation:
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
To learn more about division, please check: https://brainly.com/question/194007
May i please have the answer to this question?
Answer:
Well in order to solve these you can convert them into improper fractions.
So 11/5 + 11/6
Now to find the CM or someone multiple
So 5 and 6 have a common multiple of 30
So
66/30 + 55/30= 121/30
Now in mixed form
4 1/30
Answer:
4 1/30
Step-by-step explanation:
6/30+25/30 --> 6+25=31 --> 31/30
2+1=3
3+31/30=3 31/30= 4 1/30
Find x: 8^2^x=4
pls help!
Answer:
x = 1/3
Step-by-step explanation:
assuming this is saying (8^2)^x = 4
2^6x = 4
2^6x = 2^2
6x = 2
x = 1/3
A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the students
Answer:
The correct answer is 66,045
Keshawn is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 5 miles.
Answer:
14 m actural sif 124075n
Step-by-step explanation:
What will be the velocity of a when it travels 300 min 30 second?with explanation.
PLS HELP
What is 3/4 of a penny in decimal form?
Answer:
0.75 cents or $0.0075
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
pls mark brainliest if this helped :)
3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.
What is a penny?
The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.
During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”
Given: 3/4 of a penny
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
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#SPJ2
(REAL ANSWERS PLEASE)
х
у
4
-2
2
-1
0
o
-2
1
-4
2
Without graphing, what is the y-intercept of this function?
es )
A)
(0,0)
B)
(-2, 1)
(2, -1)
D
(4, -2)
Answer:
4 better explanation
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
(2,-1)
Translate 9 times the sum of n and 12 to symbols
14 - (-10)
Perform the indicated operation
Answer:
14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10 14 + 10 = 4
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?
Answer:
9.40
Step-by-step explanation:
7.40+2.00=9.40
the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle
Answer:
Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52
Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87
Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?
A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr
Answer:
B. 1/2 hrs
Step-by-step explanation:
make the denominator the same
27/30 10/30
27-10= 13
13/30
a half is 15/30 and it's the closest answer since the question said estimate.
Which of these lenders will make a very short-term loan based on proof of
employment?
A. Title lender
B. Bank
C. Credit union
D. Payday lender
