A window washer on a ladder looks at a nearby building 102 ft away, noting that
the angle of elevation to the top of the building is 13.7° and the angle of
depression to the bottom of the building is 4.4°. How tall is the nearby building?
ok
The building nearby is blank feet tall.
(Round the final answer to the nearest foot as needed.
Answers
Answer:
about 32.71 feet
Step-by-step explanation:
see attached picture
The height of the building is 32.7 ft.
Given that, a window washer on a ladder looks at a nearby building 102 ft away, noting that the angle of elevation to the top of the building is 13.7° and the angle of depression to the bottom of the building is 4.4°.
We need to find the height of the building.
How do you find height and distance?So if we know the height of the object and the linear distance, we can easily find out the angle by trigonometric formula. It is given by tan = Height / distance.
Now, tan 4.4°=x/102
⇒x=7.84 ft
tan 13.7°=y/102
⇒y=24.86 ft
Height of the building=x+y=7.84+24.86=32.7 ft
Therefore, the height of the building is 32.7 ft.
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Related Questions
can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …
Answers
Answer:
2
Step-by-step explanation:
3 multiplied by 2 is 6. 6 times 2 is 12, 12 times 2 is 24 so next it will be 24 times 2 which is 48 and so on.
If k/3 – 9 = 12, what is the value of k?
Answers
Answer:
k = 63
Step-by-step explanation:
k/3 - 9 = 12
isolate variable + 9 both sides
k/3 = 21
multiply both sides by three, therefore
k = 63
check:
63/3 - 9 = 12
21 - 9 =12
12 = 12
hope this helps!
The solution of the linear equation k/3 – 9 = 12 will be 63 which is the value of the variable k.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
k/3 – 9 = 12
Add 9 on both sides, then the equation will be
k/3 = 12 + 9
k/3 = 21
Multiply the equation by 3 on both sides, then the value of the variable k will be
k = 21 x 3
k = 63
The solution of the linear equation k/3 – 9 = 12 will be 63 which is the value of the variable k.
More about the solution of the equation link is given below.
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The graph shows the distance a bicyclist traveled from a starting point in 10-second increments. Which of these is closest to the average speed of the bicyclist during 30 seconds of motion?
A. 0.3m/s
B. 3m/s
C. 10m/s
D. 30 m/s
PLEASE HELP QUICK!
Answers
Answer: 3m/s
Step-by-step explanation:
the formula for speed is distance divided by time, the question tells us the time is referring to the first 30 seconds, so just divide the distance by time (the answers you’d get are 3, 3, 1) so 3 m/s is closest to the average speed
The average speed of the bicyclist during 30 seconds of motion is mathematically given as
v'=3m/s
What is the average speed of the bicyclist during 30 seconds of motion?Question Parameter(s):
During 30 seconds of motion
Generally, the equation for the speed is mathematically given as
v=d/t
Therefore
v'=(30/10+60/20+30/30)3
v'=3m/s
In conclusion, Average speed
v'=3m/s
Read more about Motion
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What is 341 divided by 674 plus 846 =
Answers
Answer:
341÷674+846 is exaclly 846.505934718
Answer:
341/674 +846=846.50
it also may be
[tex] \frac{341}{674 + 856} [/tex]
341/1530=0.22
The science club has 9 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get.
Answers
36➗9=4
Can someone help me?
Answers
Answer:
(-4,-7)
Step-by-step explanation:
2. 15 books weigh 6 kg. What will 6 books weigh?
(a) 1.2 kg
(b) 2.4 kg
(c) 3.8 kg
(d) 3 kg
I also need explanation
Answers
(b) 2.4kg
Known15 books = 6kg
Question6 books = ?kg
Way to do#Find the weight of 1books first
6kg : 15 = 0.4kg
#After that you times 6 to find the weight of 6 books
0.4kg × 6 = 2.4kg
#So the weight of 6 books is 2.4kg
David has a rectangle and a right triangle.
The length of the rectangle is 5 more than its width, w.
The length of the shorter leg of the triangle is equal to the rectangle's
width.
The length of the longer leg of the triangle is twice the length of the
rectangle.
Which function, f(w), represents the combined area of the rectangle and the
triangle?
A f(w) = 2w2 + 10w
B. f(w) = 3w2 + 15w
С f(w) = W2 + 10w + 25
D f(w) = W2 + 15W + 50
Answers
Answer:
B
Step-by-step explanation:
Have a lovely day! Please let me know if I'm wrong!
which equation represents a line with a y intercept of -5 and a slope of 2/3
a. y=2/3x-5
b. y=-5x+2/4
c. y= -3/10x -5
d. y= 2/3x+5
Answers
Answer:
b
Step-by-step explanation:
you dont need a explanation do you
Fill in the blanks. If a quadrilateral is both a __ and a __ , then it is a square.
Answers
Answer: rhombus and parralelogram
Step-by-step explanation:
Answer:
rhombus and parralelogram
Step-by-step explanation:
The game of Nudge is played with a set of 15 pieces called 'bumps! Some bumps weigh 15 g, some weigh 30 g and some weigh 40g A full set of bumps has a total
weight of 420 g and contains a different number of each type.
How many 30 g bumps are there in a full set of 15 bumps
Answers
What is this answer? -1/4-(-3/5)
Answers
Answer:
-1/4-(-3/5)=0.35
Step-by-step explanation:
Answer:
[tex]\frac{7}{20}[/tex] or 0.35
Step-by-step explanation:
I need help with this plz help me
Answers
Step-by-step explanation:
80+20m= 70+25m
10=5m
m= 2
After two months
they will cost $120
Nabi has 112 inches border she uses 8 feet of the border. How much border is left
Answers
Plz help due tomorrow
Answers
Answer:
4n+2=15
Step-by-step explanation:
If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~
What do these circles have in common?
Answers
Answer:
Step-by-step explanation:
Same diameter
Lines a and b are parallel. What is the measure of angle s?
S= Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
t = 158 Corresponding angles
t + s = 180 They are supplementary angles
158 + s = 180 Subtract 158 from both sides
s = 180 - 158
s = 22
As a note, all angles in this situation are either 158 or 22.
Which choice is equivalent to the expression below?
5^9.969
Answers
Answer:
A.
Step-by-step explanation:
got it right on test
The provided expression is equivalent to the expression mentioned in option (A), and option (A) is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
[tex]= 5^{9.969}[/tex]
We can write it as:
[tex]= 5^{\dfrac{9969}{1000}}[/tex]
or
[tex]= 5^{\dfrac{9000+900+60+9}{1000}}[/tex]
[tex]= 5^{{9}} \ 5^{\dfrac{9}{10}} \ 5^{\dfrac{6}{100}} \ 5^{\dfrac{9}{1000}}[/tex]
Thus, the provided expression is equivalent to the expression mentioned in option (A), and option (A) is correct.
Learn more about the integer exponent here:
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Solve the following quadratic equation by finding the value of x:
x^2 + 8x + 7= 0
(include solving steps please)
Answers
a=1
b=8
c=7
(-8±√(8²-4x1x7))/(2x1)
x= -1
x= -7
What is the slope of the line passing through the points
A(-4,-3) and B (-5, -6)?
-11/3
1/3
1
Answers
════════ ∘◦❁◦∘ ════════
Answer = 1════════════════════
Knownx1 = (-4)
y1 = (-3)
x2 = (-5)
y2 = (-6)
════════════════════
Questionslope = gradient (m)
════════════════════
Way to do[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{( - 6) - ( - 4)}{( - 5) - ( - 3)} = \frac{( - 2)}{( - 2)} = 1 [/tex]
════════════════════
of Tank A, which measures 80 cm by 30 cm by 50 cm, is filled with water
and of Tank is nilled with water. The ratio of the volume of water in
Tank A to that in Tank Bis 5. 2. How much more water is needed to up
Tarik ?
Answers
Answer:
72L
Step-by-step explanation:
I'm assuming Tank A and Tank B have the same volume. The question has many typos and is a bit hard to understand
Tank A Volume
V = l × w × h
= 80 × 30 × 50
= 120,000cm²
Tank A Capacity = 120,000ml
=120L
The Question states that Tank A is filled to capacity which means Tank A currently holds 120L of water
Tank A:Tank B = 5:2 = 120:x
120 ÷ 5 = 24L
24 × 7 = 168
168 × [tex]\frac{2}{7}[/tex] = 48
This means Tank B currently holds 48L of water
120 - 48 = 72L
∴72 more litres of water is needed to fill Tank B
Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for washing 10 windows. Diego makes more money for washing each window than Elena makes for making each call. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls. The equation y = 910x, where y is number of dollars and x is number of windows, represents Diego's situation. The equation y = x, where y is number of dollars and x is number of calls, represents Elena's situation.
Answers
Answer:
B, C, E
Step-by-step explanation:
Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.
Select all the statements about the situation that are true.
A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.
Elena:
$1 = 1 call
$10 = 10 calls
Diego:
27 windows = $30
10 windows = $x
Cross product
27*x = 30*10
27x = 300
x = 300/27
x = $11.11
Statement A not true
B. Diego makes more money for washing each window than Elena makes for making each call.
Diego:
10 windows = $11.11
Each window = $11.11/10
= $1.11
Statement B is true
C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows
Elena:
20 calls = $20
Diego:
18 windows = 18 × $1.11
= $19.98
Approximately $20 to the nearest whole dollar
Statement C is true
D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.
Diego
35 × $1.11 = $38.85
Approximately $39
Elena:
40 calls = $40
Statement D is not true
E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.
Statement E is true
Find the equation of the linear function represented by the table below in slope- intercept form.
x y
-1 8
2 -7
5 -22
8 -37
Answers
Answer:
y=-5x+3
Step-by-step explanation:
The quotient law states: keep the base the same and___
the exponents.
subtract
divide
multiply
add
Answers
What is the value of 2x - 3y, if x = 2 and y=-1?
Answers
Answer:
7
Step-by-step explanation:
I) Construct an expression to find the answer:
2(2) - 3(-1)
II) Simplify/Solve:
2(2) - 3(-1)
= 4 - (-3)
= 7
Answer:
7
Step-by-step explanation:
Substitute 2 for x and -2 for y
2(2) - 3(-1)
4 - -3 = 7
Shelley is searching online for airline tickets two weeks ago the cost to fly from Boston to Hartford was 210.now the cost is 285
Answers
Answer:
the price went up 75 dollars, about 26.3%
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply. Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
Answers
Answer:
b dce
Step-by-step explanation:
answer please 1/8*4/5
Answers
Answer:
Step-by-step explanation:
1/8*4/5=1/10
Answer:
0.1
Step-by-step explanation:
1/8 * 4/5= 0.1
i think that this is correct
Question 6
A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 25 ft?
pls helppppp
Answers
2. A direular para is to be divided into 12 equal sectors. What is the radian measure of the angles.
based
from the terminal side for every slice of the pizza? Draw an exact diagram and label each
terminal side with the equivalent radian
measure .
Answers
Step-by-step explanation:
Step 1 Try to draw a perfect circle
Step 2 Divide into 12 equal sections if you can
A circle has 2 pi radians or 360 degrees in it
Divide 2 pi by 12
[tex] \frac{2\pi}{12} [/tex]
Which equal
[tex] \frac{\pi}{6} [/tex]
For every nth sector you on multiply the nth sector your on by pi/6
For example let say ur on second sector.
[tex] \frac{\pi}{6} \times 2 = \frac{2\pi}{6} [/tex]
or
[tex] \frac{\pi}{3} [/tex]
Let say ur on the 6th sector
[tex] \frac{\pi}{6} \times 6 = \frac{6\pi}{6} [/tex]
or
[tex]\pi[/tex]