15 POINTS! PLEASE HELP!
To measure the distance across a wide river surveyors use a technique of measuring angles to a fixed point on the other side of the river. In the diagram below, a survey starts a point A and find m
Answers
Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{DC}{BC}[/tex]
= [tex]\frac{h}{a}[/tex]
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(22°) = [tex]\frac{DC}{BC+AC}[/tex]
= [tex]\frac{h}{a+2400}[/tex]
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft
Related Questions
hey hottie !
Which of the following situations does Mrs. Ji Woo's hourly wage change by a constant percent?
A)Mrs. Ji Woo's starting hourly wage is $30.00 per hour the first year, and it increases by $2.50 each year.
B)Mrs. Ji Woo's hourly wage is $20 per hour in the first year, $22 per hour the second year, $24.20 per hour the third year, and so on.
C)Mrs. Ji Woo's starting hourly wage is $15.00 per hour. Her hourly wage is $15.75 after one year, $17.00 after two years, $18.75 after three years, and so on.
D)Mrs. Ji Woo's starting hourly wage is $28.00 per hour. She receives a $0.75 per hour raise after one year, a $1.00 per hour raise after the second year, a $1.25 raise after the third year, and so on.
Answers
Answer:
B I think
Step-by-step explanation:
I think it's B because in b it says so on which means his raise keeps going up each year
PR and os are diameters of circle T. What is the
measure of SR?
50°
* 80°
• 100°
120
Answers
Answer:
100degrees
Step-by-step explanation:
Find the diagram attached
From the diagram
<PQT =<TRS = 40
Since the triangle STR is isosceles, here,
<TSR =<TRS = 40
Also the sum of angle in a triangle is 189, hence:
Arc SR+<TSR +<TRS = 18₩
ArcSR +40+40=180
ArcSR +80=180
ArcSR = 180-80
ArcSR = 100degrees
Hence the measure of SR is 100degrees
The measure of arc SR is 100°. The correct option is the third option - 100°
Calculating the measure of an Arc
From the question, we are to determine the measure of arc SR.
The measure of arc SR = <STR
Now, we will determine the measure of <STR
In the diagram, T is the center of the circle.
∴ TP and TQ are radii.
Then, we can conclude that ΔPQT is an isosceles triangle.
Recall: Base angles of an isosceles triangle are equal.
∴ <PQT = <TPQ = 40°
Now, consider ΔPQT
<QTP + <TPQ + <PQT = 180° (Sum of angles in a triangle)
<QTP + 40° + 40° = 180°
<QTP + 80° = 180°
<QTP = 180° - 80°
<QTP = 100°
Also, in the diagram, <QTP and <STR are vertically opposite angles
NOTE: Vertically opposite angles are equal
That is, <QTP = <STR
∴ <STR = 100°
Hence, the measure of arc SR is 100°. The correct option is the third option 100°
Learn more on Calculating the measure of an arc here: https://brainly.com/question/3506007
Here is the complete and correct question:
Line PR and Line QS are diameters of circle T. What is the measure of Arc SR?
50°
80°
100°
120°
Please find the attached image
6р + 22 – 10
Help me please
Answers
Answer:
P = -2
Step-by-step explanation:
6p +22 =10
-22 -22
6p= -12
6 6
p= -2
Im pretty sure thats it.
jsut heklp plkease ive literally beegn sobbing for foirefver
Answers
Answer:
A. Side a is 7 inches long and side b is 6 inches long.
Step-by-step explanation:
a = 21/3 = 7
b = 18/3 = 6
Clara visits the aquarium while on vacation. The aquarium is 2 1/2 from her hotel. She walks 1/4 mile to the bus stop, take the bus for 1 3/4 miles, and walks the rest of the way to the aquarium.
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Answer:
1/2
Step-by-step explanation:
Find measure of angle A
Answers
Answer:
angel a is 65 degrees
Step-by-step explanation:
40+2x+10=180
40-40+2x+10-10=180-40-10
2x=130
x=65
checking:
65 + 10 + 40 = 75 + 40 = 115
115+65=180
180=180
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
A would be the answer I would choose
Which transformation carries the parallelogram onto itself?
Answers
Answer: D) a rotation of 180 degrees Clockwise about the center of the parallelogram
Step-by-step explanation:
Which values are solutions to the inequality below? Check all that apply.
Answers
Answer:
C. and D.
Step-by-step explanation:
The root of √x is either equal or bigger than 9
Mrs. Smith washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answers
Answer:
a) The person who washed the most of the laundry is Mrs Smith
b) 4/15 of the laundry is left to wash
Step-by-step explanation:
Mrs. Smith washed 2/5 of her laundry. Her son washed 1/3 of it.
a) Who washed most of the laundry?
We convert the fraction of laundry each person washed to decimal
Mrs Smith = 2/5 = 0.4
Her son = 1/3 = 0.333
Therefore, the person who washed the most of the laundry is Mrs Smith
b) How much of the laundry still needs to be washed?
Let us total laundry = 1
=1 - ( 2/5 + 1/3)
Lowest Common Denominator is 15
=1- (3 × 2 + 5 × 1/15)
= 1 - (6 +5/15)
=1 - 11/15
= 4/15
If the length of a rectangle is 10 feet and the width is 3 inches, what is the area of the rectangle in units of
square feet?
Answers
Answer:
30 ft
Step-by-step explanation:
10 feet = 120 inches
120 in x 3 in = 360 in
360 in ÷ 12 in = 30 ft
find the value of two numbers if their sum is 39 and their difference is 1
Answers
20 is 1 more than 19 making 19 1-less than 20. The difference is 1 between the two numbers
PLS ANSWER THIS AND GET BRAINLIEST !!!
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?
A. There is no correlation between amount of bread bought and amount of rice purchased.
B. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.
C. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this.
Answers
Answer: C
Step-by-step explanation: C because there is obviously a correlation yet we cannot determine if there is causation or not.
Which number completes the sequence ?
Answers
Answer:
12
Step-by-step explanation:
1st circle - [tex]1+3+6=10[/tex]
3rd circle - [tex]6+2+5=13[/tex]
2nd circle is proboably the same way.
You eat 11 grams of cereal each day. If you eat the same amount of cereal each day, how many grams of cereal will you eat in 5 days?
Answers
Answer:
55 grams
Step-by-step explanation:
11×5=55 grams
if its the same amount everyday then 55
(it made me type more)
Answer:55
Step-by-step explanation: 11x5
Find the slope of the line
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
Slope = -6
Step-by-step explanation:
What is the difference, in meters, between the length of the longest line and the length of the shortest line?
Answers
Answer:
[tex]Range = 3.169m[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the difference between the shortest and the longest
This question implies that we calculate the range.
[tex]Range = Longest - Shortest[/tex]
From the table, we have:
[tex]Longest = 8.7m[/tex]
[tex]Shortest = 5.531m[/tex]
So, we have:
[tex]Range = 8.7m- 5.531m[/tex]
[tex]Range = 3.169m[/tex]
-6,-5,-4,-3,...rule
What is answer
Answers
Answer:
[tex]a_{n}[/tex] = n - 7
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence
d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 1 , then
[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7
PLSSS HELP IMMEDIATELY!!!! i’ll give brainiest, if u don’t provide just a link! answer choices: (4,6) , (0,1) , (0,0) , (5,4)
Answers
Answer:
try (4,5)
Step-by-step explanation:
that is where the points meet I think it is that I am not sure sorry if it is wrong
Felicia is solving the expression - 5(3x + 2) + 10x. Gregory is solving the expression -12 - 4x +?+?x.
Both students simplified their answers to get the same expression. What are the values
missing from Gregory's expression?
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Answer:
-5x-10 is the expression. the missing values would be 2 and -x i believe
do perpendicular lines intersect at a 60 degree angle?
Answers
Answer:
Perpendicular angles create a 90 degree angle
Step-by-step explanation:
What’s the answer ?
Answers
Is the correct answer
Can someone plz help me with #2 and #6 plz thank oyu
Answers
Answer:
njbrdjbbgdbjbfjfj
Step-by-step explanation:
10 x 10 = ? for easy points
Answers
Answer:
[tex]\huge\mathfrak{Heya\:Mate}[/tex]
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
[tex]10 \times 10 \\ = 10^{2} \\ = 100[/tex]
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Find the area of the trapezoids
Answers
Answer:
48 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: AT = 8; RS = 4
Height: 8
area = (b1 + b2)h/2
area = (8 + 4)(8)/2
area = 48 square units
Answer:
The area of trapezoid is 48 sq units.
Step-by-step explanation:
According to the question,
➻ Trapezoid is consist of many square shapes. Each grid square equals 2 units. We need to find the area of trapezoid.
➻ To find area we need to find the length if base and height of trapezoid.
Calculate the square grids to find base and height. we get.
Base ; SR = 4 units and TA = 8units
Height = 8 units.
Finding the area of trapezoid.
We know that,
Area of trapezoid = ( Base1 + Base2 ) ×Height / 2
plug the values of both base and a height.
Area of trapezoid = ( 4 + 8 ) × 8 / 2
Add the numbers which are in bracket and multiply by 8.
Area of trapezoid = 12 × 8 / 2 = 96/2
Divide 96 by 2.
Area of trapezoid = 48 sq units.
Hence,
The area of trapezoid is 48 sq units.
Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`
Answers
Answer:
D
Step-by-step explanation:
Factor the expression completely. 12X+18
Answers
Answer:
6(2x+3)
Step-by-step explanation:
There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.
Hope this helped! :)
A restaurant sells an 8-oz drink for $2.56 and a 12 oz drink for $3.66. Which drink is the better buy? i need help fast :(
Answers
Answer:
12 oz
Step-by-step explanation:
2.56 ÷ 8 = 0.32 per oz
3.66 ÷ 12= 0.305 per oz
The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.
Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?
Answers
Answer:
x, y) → (1.5x, 1.5y)
Step-by-step explanation:
can someone help me I’m stuck on this and can’t figure it out
Answers
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
19.99 - 3.998(20%) = 15.992 which when rounded is 15.99