Help please I'm terrible at trigonometry
Two girls are standing 100 feet apart. They both see a beautiful seagull in the air between them. The angles of elevation from the girls to the bird are 20° and 45°, respectively. How high up is the seagull? Round to three decimal places. Show your work.
Answers
Answer:
[tex]\huge\boxed{\sf h = 26.684\ feet}[/tex]
Step-by-step explanation:
See the attached file along with the solution.
Let the height be h,
base of triangle 1 be x
base of triangle 2 be 100 - x
Using the following trigonometry for both the triangles.
[tex]\displaystyle tan (\theta) = \frac{opposite}{adjacent}[/tex]
For triangle 1:
tan 20 = h / x ---------------------(1)
For triangle 2:
tan 45 = h / 100 - x -----------------(2)
Taking Eq. (1)
tan 20 = h / x
Multiply both sides by x
tan 20 * x = h
h = tan (20) * x
h = 0.36397x -----------------------(3)
Put Eq. (3) in (2)
tan (45) = 0.36397x / 100-x
1 = 0.36397 x / 100 - x
Multiply both sides by 100 - x
100 - x = 0.36397 x
Add x to both sides
100 = 0.36397 x + x
100 = 1.36397 x
Divide both sides by 1.36397
100 / 1.36397 = x
73.315 = x
x = 73.315 feet
Now, Finding h (height):
tan 20 = h / x (Eq. (1))
h = tan (20) * x
h = 0.36397 * 73.315
h = 26.684 feet
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Related Questions
Jerry went to the grocery store. He bought the following items.
. 3 pounds of bananas at $0.69 per pound
• 5 pounds of apples at $1.23 per pound
What is the total cost of these items?
O A $1.92
OB. $7.14
OC. $8.22
OD. $8.70
Answers
Answer:
$8.22
Step-by-step explanation:
Items purchased :
Banana = 3 pounds
Price per pound of banana = $0.69
Cost of 3 pounds of banana = (3 * 0.69) = $2.07
Apple = 5 pounds
Price per pound of apple = $1.23
Cost of 5 pounds of apple = (5 * 1.23) = $6.15
Total cost :
$(2.07 + 6.15) = $8.22
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answers
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
b. Find the GCF and LCM of 2^3 x 3^4 x 7 and 2^5 x 5^2 x 7^3 x 13
Please urgent!
Answers
Answer:2940
Step-by-step explanation:
Answer:
Step-by-step explanation:
18. The temperature was
40° at noon. At midnight the
temperature was -10°.
Which integer describes the
change in temperature?
PLEASE ANSWER
Answers
Answer:
The change in temperature is -50
Step-by-step explanation:
Take the second temperature and subtract the first temperature
-10 -40
-50
The change in temperature is -50
[tex]\boxed{\sf \Delta T=t_2-t_1}[/tex]
[tex]\\ \sf\longmapsto \Delta T=-10-40[/tex]
[tex]\\ \sf\longmapsto \Delta T=-50°C[/tex]
Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.
Answers
Answer: fx + gx
f(x) =x^2 -13x + 36
g(x) = x - 9
PLEASE HELP WILL MARK BRAINLYIST HELP
Answers
Explanation
1/2 divided by 4 = 1/8
Just trust me, and mark me brainliest ty
Have a nice day!
cuanto es 47398×5467
Answers
Answer:
259,124,866
Step-by-step explanation:
Multiply the two numbers
4 7 3 9 8
× 5 4 6 7
________________________________________
+ 3 3 1 7 8 6
+ 2 8 4 3 8 8
+ 1 8 9 5 9 2
+ 2 3 6 9 9 0
_______________________________________
= 2 5 9 1 2 4 8 6 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Restaurants often slip takeout menus under Ron's apartment door. So far, Ron has collected 6 menus for Korean food and 9 other menus. Considering this data, how many of the next 20 menus slipped under Ron's door should you expect to be from Korean restaurants?
Answers
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
WILL
GIVE BRAINLIST
ANSWER
MATH
Answers
Answer:
might be C not sure though
What is the question of 2/10 + 34/100
Answers
27/50=0.54 add the answers together and get that
Need help ill give brainlest!!!!!!!!! HURRYYYY
Answers
Answer:
4
Step-by-step explanation:
hmm i dont know this is a pretty hard 1
What is the slope of the line that passes through the points (4, 4)and (10, 7) ? Write your answer in simplest form. undefined or not
Answers
Answer:
1/2
Step-by-step explanation:
Easy fractions help please please thank you
Answers
Answer:
1. B 2. B 3. A 4. A 5. A 6. B
Step-by-step explanation:
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answers
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
A random survey at Disney World found that of 200 people
surveyed, 104 responded that their favorite Disney character
is Mickey Mouse. Based on that survey how many visitors can
we assume like Mickey Mouse if there are 25,000 people
visiting the park?
Answers
Answer:15,400 If u take the equation then the matric rule in the olastrophy and then use clastrophy you get the answer pretty simple
THE ANSWER IS :13,000
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answers
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
what does the Angle X =
Answers
Answer: 45 degrees
explanation: if x is in a square with all right angles that is 90 degrees and the entire square is divided in half it would be 45 degrees with the other corresponding angle 45 degrees minus 90 it is also 45 degrees
Choose the option that best describes what it means to be 60% done with a project.
There are 60 things to do to finish the project, and you have done 6.
O There are 10 things to do to finish the project, and you have done 6 of them.
There are 100 things to do to finish the project, and you have done 6.
There are 6 things to do to finish the project, and you have done 3 of them.
Answers
4(x+2) help please.
Answers
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answers
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answers
Answer:
Step-by-step explanation:
Jennifer is having a birthday party and spends a total of $136 on food. She spent $25 on a cake and $9.25 for each pizza. Write and solve an equation to determine how many pizzas, p, she bought.
Answers
Answer:
7
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
a company manufactures two products. market research and available resources require the following constraints
Answers
Answer:
I don't see anything to help with!
Step-by-step explanation:
Write an equivalent expression for -5(3-2x)
Answers
Answer:
-15+10x
Step-by-step explanation:
All you have to do is simplify.
-5(3-2x)
-5(3)+-5(-2x)
-15+10x
If this helps please mark as brainliest
the table shows the change in the water level (in centimeters) of a reservoir for three months.
find the total change in the water level for the three- month period.
Answers
Answer:
- 1 5/24 cm
Step-by-step explanation:
We'll have to get the fractions to a common denominator. the least common denominator for 3 and 80 is 240.
So - 1 1/3 = - 1 80/240 = 320/240
21/80 = 63/240
-11/80 = -33/240
-------------------------------------
-320/240 + 63/240 - 33/240 = -290/240 = - 1 50/240 = -1 5/24 cm
The total change in the water level is [tex]-\frac{29}{24}[/tex]
What is a fraction?'A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'
According to the given problem,
Change in first month = [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{21}{80}[/tex] + [tex](-\frac{11}{80})[/tex]
= [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{10}{80}[/tex]
= [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{1}{8} - \frac{4}{3}[/tex]
= [tex]\frac{3 - 32}{24}[/tex]
= [tex]-\frac{29}{24}[/tex]
Hence, we can conclude, the change in the water level is [tex]-\frac{29}{24}[/tex]
Learn more about fractions here: https://brainly.com/question/10354322
#SPJ2
Solve for b. Round your answer to the nearest whole degree.
Answers
Answer:
44°
Step-by-step explanation:
From sin rule:
a / sin A = b / sin B = c / Sin C
3.6 / sin b = 5.1 / sin 100
Cross multiply :
5.1 * sinb = 3.6 * sin 100
Sin b = 3.5453079 / 5.1
Sin b = 0.6951584
b = sin^-1(0.6951584)
b = 44.039
b = 44°
Enter the correct answer in the box. 1 The function Rx) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 3. What is the equation of function g? Substitute a numerical value for k into the function equation.
Answers
Answer:
8
Step-by-step explanation:
 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Image above
Answers
Answer:
Its the second one because
Step-by-step explanation:4/6-473*329+4= y=x+3
probability of an even number both times
Answers
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and selects a random sample of 101 Dalmatian birth records. He examines each birth record and identifies the number of puppies that were born in the litter. The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter and a standard deviation of 2.1 puppies per litter. He would like to estimate, with 99% confidence, the mean number of puppies born per litter for all Dalmatian births. Which of the following is the correct interval?
a. 6.2 ± 2.576(0.21)
b. 6.2 ± 2.576(2.1)
c. 6.2 ± 2.626(0.21)
d. 6.2 ± 2.626(2.1)
e. The confidence interval
Answers
Answer:
c. 6.2 ± 2.626(0.21)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 101 - 1 = 100
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.626
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
In which [tex]\overline{x}[/tex] is the sample mean while M is the margin of error.
The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.
This means that [tex]\overline{x} = 6.2[/tex]
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the confidence interval is:
[tex]\overline{x} \pm M = 6.2 \pm 2.626(0.21)[/tex]
And the correct answer is given by option c.