After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?
a) 11.0 ft.
b) 12.2 ft.
c) 16.7 ft.
d) 20.5 ft.
Answers
9514 1404 393
Answer:
b) 12.2 ft
Step-by-step explanation:
Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.
The problem can be solved using the law of sines. In the attached, we have ...
AD/sin(O) = OA/sin(D)
The angle at D is 180° -45° -75° = 60°, so this can be written as ...
AD = sin(45°)(15 ft)/sin(60°)
AD ≈ 12.247 ft
The pole is about 12.2 feet long.
Related Questions
A basketball player scored 30 times during one game. she scored total of 50 points, two for each two point shot and one for each free throw. How many two point shots did she make? How many free throws
Answers
Answer:
it is 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
49 points in seven games unit rate
Answers
Answer:
7
Step-by-step explanation:
1. Do 49÷7 to get the average of 7
What is 837 divided by 36?
Answers
Answer:
23.25 you will just divide it
Step-by-step explanation:
what if f(0)?
12 only
2 and 3 only
-2,-1,1 and 2 only
-2,-1,1,2 and 12
Answers
Answer:
12 only
Step-by-step explanation:
I did the test
rounded to the nearest thousandth, the number 0.0000741
Answers
Answer:
.000
Step-by-step explanation:
Helllllllllllllp meeeeeeee I’m an idiotttttt
Answers
Answer:
3(4 + 3x)
distribute the 3 into both numbers
3*4
3*3x
9x +12
Step-by-step explanation:
Which construction is partially represented by the diagram on the baseball field? Explain the next set of instructions to correctly finish the construction.
Answers
Answer:
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Step-by-step explanation:
Angle bisector of an angle bisects it into two equal angles.
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Consider the figure:
From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.
Take the point of intersection of both the arcs as C.
Join OC.
OC is the angle bisector of the angle.
Which pair of triangles is congruent by ASA?
Answers
how to graph a line with slope 2 passing through the point (2, -1)
Answers
A chef needs 60 oz of hot pepper sauce.
Which container size represents the better buy?
What will be the total cost of those containers?
Answers
Answer:
30-oz is a better buy
Total cost: $40.80
Step-by-step explanation:
The container with a lesser price per oz will be the better buy.
Let's calculate how much each container will give us per oz:
2-oz container = $1.99/2 = $0.995 per oz
5-oz container = $3.95/5 = $0.79 per oz
12-oz container = $8.76/12 = $0.73 per oz
30-oz container = $20.40 = $0.68 per oz
The 30-oz container is cheaper and would be a better buy.
In total the chef would buy 60-oz of hot pepper sauce for = 60-oz*$0.68 = $40.80
Jonas has 20 coins, all nickels and dimes. The total value is $1.25. If n represents the number of nickels, which algebraic equation represents this situation?
A. 20n = 125
B. 5n = 1.25
C. 5n + 10(20 - n) = 125
D. 5n + 10n - 20 = 125
Answers
Answer:
a
Step-by-step explanation:
At the beginning of the quarter there were 40 students in our class. At the final exam, there are only 32 students left. By what percent did the class size decrease? by 96
Answers
Answer:
20 % decrease
Step-by-step explanation:
First find the number of students that left
40 -32 = 8
Take the number of students that left and divide by the original number of students
8/40
1/5
.20
20%
20 % decrease
Answer:
20% decrease ._.
Step-by-step explanation:
If u could subscribe to my friend penny_pg3d on YT, that would be great :)
Simplify -6 to the power of 2 divided by 12- 2(-7).
Answers
Answer: 18
Step-by-step explanation: -36 / -2 simply
Jack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:
2x − 8
In the expression, what does the first term represent?
Answers
Answer:
2(x-4)
Step-by-step explanation:
it's the only thing i could think of, or its one
Answer:
Jillian's earnings at the end of the week
Which of the following expressions has the greatest value? A. 62 O B. 53 O c. 52 O D. 32
Answers
Answer:
A. 62
Step-by-step explanation:
Quick I need help.....
Answers
Answer:
C
Step-by-step explanation:
Subtract both sides by 2
2-2 is 0
-10 - 2 is 12
-3x < 12
Divide both sides by -3
Switch signs cause dividing a negative
x > -4
decrease of 65% is the same as multiplying by what
percent?
Answers
Answer:
35%
Step-by-step explanation:
A decrease of 65% would be the same as multiplying the value by 35%.
100% - 65% = 35%
Let's use an example.
You have $150 dollars in stock and it decreases by 65%
150 - (.65*150) =
150 - 97.5 = $52.50
Now let's just multiply $150 by .35 (which is 35%)
150 * .35 = $52.50
It's the same!
All of the following are rational except
Sqrt 0.49
Sqrt 19
Sqrt 900
Sqrt 100
Answers
Answer:
0.49
Step-by-step explanation:
for it to be rational there should not be no decimal nor pi .
Answer all ten questions for tons of points. Please don’t take forever
Answers
Answer:
Hey looks like you did'nt post the question
msg me below and ill try to help you
Derek tried to solve an equation step by step.
\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}
8d
8
8d
d
=72
=
8
72
=8
Step 1
Step 2
Find Derek's mistake.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b
(Choice B)
B
\blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed
(Choice C)
C
Derek did not make a mistake.
Answers
Answer:
Step-by-step explanation:
[tex]\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}[/tex]
Derek's Mistake ;
[tex]\frac{8d}{8} =\frac{72}{8} \\\\[/tex]
Reason ;
[tex]72\div 8 =9 \\\\So ; d = 9[/tex]
Answer:
Step 2 - d=8
Step-by-step explanation:
72/8 equals 9 not 8
1. Lori drove 141 miles in 3 hours. What was Lori’s average rate of speed?
Answers
Answer:
47 miles per hour
Step-by-step explanation:
The average rate of speed is the miles divided by the hours
141 miles / 3 hours
47 miles per hour
Answer:
47
Step-by-step explanation:
141 / 3
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to pick a blue marble if he picks a marble 200 times?
Answers
Answer:
Quinn can expect to pick blue 40 times
Step-by-step explanation:
the probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:40 blue marbles
Step-by-step explanation:
First find the probability of a blue marble
P (blue) = number of blue marbles / total marbles
= 2 blue/ ( 5+3+2) total
= 2/10
=1/5
We can use this since we return the marble to the bag each time
We multiply this by 200 for the number of times it is picked
200 * 1/5 = 40
We should expect to pick 40 blue marbles
A farmer has a total of 7725. Corn plants he wants to plant 40 corn plants in each row how does the following work in long division
Answers
Answer:
The answer is B
Step-by-step explanation: Let me know if you need an explanation.
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.
Single Policyholders Married Policyholders
n1 = 900 n2 = 400
Number making claims = 135 Number making claims = 24
Required:
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
b. Provide a 95% confidence interval for the difference between the proportions for the two populations.
Answers
Answer:
Step-by-step explanation:
Given the following :
Single policy holders (n1) = 900
Number making claims (x1) = 135
Married Policy holders (n2) = 400
Number making claims (x2) = 24
α = 0.05
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
Null: p1 - p2 = 0
Alternative : p1 - p2 ≠ 0
p = (n1p1 + n2p2) / n1 + n2 ;
p1 = x1/n1 = 135 / 900 = 0.15
p2 = x2/n2 = 24 / 400 = 0.06
p = (900*0.15 + 400*0.06) / (900 + 400)
p = 0.1223076
Test statistic (z):
(p1 - p2) / √p(1-p)(1/n1 + 1/n2)
(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)
= 4.5710979
Decision:
Reject Null if P < α
Obtaining p value from z score using calculator :
P value = 0.0001
0.0001 < 0.05
Hence,
Reject Null
The London School of Economics and the Harvard Business School have conducted studies of how chief executive officers (CEOs) spend their time. These studies have found that CEOs spend many hours per week in meetings that include conference calls, business meals, and public events. Suppose that the data below show the time spent per week in meetings (hours) for a sample of 25 CEOs.
14 15 18 23 15
19 20 13 15 23
23 21 15 20 21
16 15 18 18 19
19 22 23 21 12
a. What is the least amount of time spent per week on meetings? The highest?
b. Use a class width of two hours to prepare a frequency distribution, a relative frequency distribution, for the data.
Answers
Answer:
(a) The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b) Shown below.
Step-by-step explanation:
(a)
Arrange the data in ascending order.
S = {12 , 13 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 18 , 18 , 18 , 19 , 19 , 19 , 20 , 20 , 21 , 21 , 21 , 22 , 23 , 23 , 23 , 23}
The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b)
The frequency distribution table with the relative frequency distribution is as follows:
Class Interval Frequency Relative Frequency
12 - 14 3 0.12
15 - 17 6 0.24
18 - 20 8 0.32
21 - 23 8 0.32
Total 25 1.00
Ummm this is prolly the last time tehe
Answers
Answer:
1. 25% increase
2. 90% decrease well you get 8.4 but that's the closest
3. 71% increase
4. 20% decrease
5. 75% decrease
6. 150% increase
Step-by-step explanation:
HELLLLLLLLPPPPPPPPPPPP!!!!!!
Answers
Answer:
3 bars of soap and 2 toothbrushes.
Step-by-step explanation:
7.86÷0.2
I need you to answer with step by step explaination
Answers
2. The equation became 78.6/2
3. Divided 7/2, got 3
4. Divided 8/2, got 9
5. Put the decimal point on the preferred spot
6. Divide 6/2, got 3
7. 78.6/2 equals 39.3
Two dice are tossed. The probability that the total score is a prime number is:
Answers
Step-by-step explanation:
50/50 it's random I think but I learned that in science
1m-23=1+4m Please help
Answers
Answer:
m= -8
Step-by-step explanation:
Answer:
m=-8
Step-by-step explanation:
Hope this helps :)