A girl 1.0 m in height, standing on top of a vertical building 45.0 m high sees a car some distance away when the angle of depression is 55 degree. What distance is the car from the base of the building?
Answers
The distance is the car from the base of the building is 32.21m.
The building forms a right angled triangle. Check the attached image for the diagram of the right-angled triangle.
The height is 45 + 1 = 46m
The base is what we are to determine.
Remember SOHCAHTOA.
We have the length of the opposite side and we are to determine the length of the adjacent side. So, we would use Tan
Tan = opposite / adjacent
Tan 55 = 46 / adjacent
1.42814 = 46 / adjacent
adjacent = 46 / 1.42814
= 32.21 m
A similar question was answered here: https://brainly.com/question/24641284?referrer=searchResults
Related Questions
factor the following completely 6i^2−7i−3, and 2i^2−11i+14
Answers
Answer:
-7i - 9
-11i + 12
Step-by-step explanation:
i stands for imaginary number, in which i² = -1
6i² = 6 * -1 = -6
-6 - 7i - 3
Combine like terms:
-6 - 3 = -9
-7i - 9
2i^2 = 2 * -1 = -2
Combine like terms:
-11i + 14 - 2
-11i + 12
~
Is this correct? Can anyone check this for me and make sure it is correct. I’ll mark u brainiest if correct.
Answers
Answer:
Yep ur correct!
Step-by-step explanation:
The first one represents the numbers decreasing by a factor of 4 and the 2nd represents it of -10. C is not geometric because it is decreasing by 2 each time in which it would be arithmethic
Answer:
brainly.com/question/22433898?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation:
Amelia started a puzzle at 12{:}56 \text { p.M.}12:56 p.M.12, colon, 56, start text, space, p, point, m, point, end text and solved it at 2{:}33 \text { p.M.}2:33 p.M
Answers
Answer:
1 hour 37 minutes
Step-by-step explanation:
Given that :
Time Amelia started puzzle = 12 : 56
Time Amelia solved puzzle = 2 : 33
The time it took Amelia to solve puzzle :
Time Amelia solved puzzle - Time Amelia started puzzle
2 : 33 - 12 :56
12 :56 to 1 :56 = 1hr
1:56 to 2:33 = 37 minutes
Total time spent on puzzle = 1 hour + 37 minutes = 1 hour 37 minutes
Which graph represents the given equation?
y = 3/2x^2 + 4x – 2
Answers
Answer: B
Step-by-step explanation:
y intercept is -2
y = 3/2x^2 + 4x – 2
y = 3/2(0^2) + 4(0) – 2 = -2
and x intercepts are
0 = 3/2x^2 + 4x – 2
about
x = 0.43050087, -3.09716754
find the total lateral surface area of the prism below ANWSER PLEASR QUICK
Answers
y=-2x
x+y=3
What is the value of x?
Answers
Step-by-step explanation:
x+y=3
y=2x
x+2x=3
x=3-2x
it's your required answer
Answer:
x = -3
If you need to find the value of y than substitute x=-3 into equation (1) .
Can you help me please and thank you
Answers
6x-3=3x+12
x=
What is the value of x in this equation
Answers
Answer:
x = 5
Step-by-step explanation:
6x - 3 = 3x + 12
-3x -3x
_____________
3x - 3 = 12
+3 +3
_____________
3x = 15
15 divided by 3 = 5
x = 5
You can double check this by replacing x with (5)
If it is right both sides should equal the same
6(5) - 3 = 3(5) + 12
30 - 3 = 15 + 12
27 = 27
This would prove that x = 5
Find the equation of the straight line which passes through each of the following pairs of points.
(0,-4) (3,-1)
Answers
Hope it’s right
Best luck with your studying
Answer:
i belive the awnser is 0.8
Step-by-step explanation:
0.4(3-1)=0.8
Question 1
Which equation is written in standard form?
A.
B.
C.
D.
x2 + 5x = 20
x2 + x-4 = 0
x² - 6 = 4x
7x + 12 = x
Answers
Answer:
x2+x-4=0
Step-by-step explanation:
What is the area of the polygon in the picture.
Answers
Answer:
I got 11
Step-by-step explanation:
Answer:
12.25 cm^2
Step-by-step explanation:
Draw a segment from the bottom of the 1.5-cm vertical side to the bottom side of the entire polygon.
Now you have two rectangles.
The left rectangle has dimensions 3.5 cm by 1.5 cm.
The right rectangle has length 5 cm - 1.5 cm = 3.5 cm and width 3.5 cm - 1.5 cm = 2 cm.
The total area is the sum of the areas of the two rectangles.
area of rectangle = length * width
total area = 3.5 cm * 1.5 cm + 3.5 cm * 2 cm
total area = 5.25 cm^2 + 7 cm^2
total area = 12.25 cm^2
Gustavo's younger brother says that 3.14 is equal to 1. Gustavo knows this can't be right,
because 3.14 is rational and a is irrational. Write an explanation that Gustavo could use to
convince the brother that 3.14 cannot be equal to pi.
Answers
Answer:
gustavo is wrong
Step-by-step explanation:
HELP MATH ._. rbiufb3fuib3fu4
Answers
Answer:
Step-by-step explanation:
9/2 is the slope. Slope defines how steep is the straight line.
Slope = change in y ÷ change in x
In this model, 9 refers to the vertical distance between two points
and 2 refers to the horizontal distance between two points.
9/2 is a positive slope. It indicates that if 'x' increases, y also increase.
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question Which statement about triangle QRS is true?
Answers
Answer:
[tex]QR = 6.0033[/tex]
[tex]QS = 8.22[/tex]
[tex]RS = 6.0033[/tex]
QRS is isosceles
Step-by-step explanation:
Given
See attachment for complete question
From the attachment, we have the following parameters[tex]QR = \sqrt{(-3-0)^2+(-5.2-0)^2}[/tex]
[tex]QR = \sqrt{9+27.04}[/tex]
[tex]QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}[/tex]
[tex]QS = \sqrt{64+3.53} = \sqrt{67.53[/tex]
[tex]RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}[/tex]
[tex]RS = \sqrt{(25 + 11.04}[/tex]
Solving further, we have:
[tex]QR = \sqrt{9+27.04}[/tex]
[tex]QR = \sqrt{36.04}[/tex]
[tex]QR = 6.0033[/tex]
[tex]QS = \sqrt{64+3.53} = \sqrt{67.53}[/tex]
[tex]QS = 8.22[/tex]
[tex]RS = \sqrt{25 + 11.04}[/tex]
[tex]RS = \sqrt{36.04}[/tex]
[tex]RS = 6.0033[/tex]
From the calculations;
[tex]RS = QR = 6.0033[/tex]
This means that: QRS is isosceles
Answer:
the answer is D
Step-by-step explanation:
The table shows a function. Is the function linear or nonlinear?
Answers
The table shows a linear function :)
Which row of Pascal’s triangle would you use to expand (2x + 10y)15?
How many terms are in this expansion? ____ terms
Answers
Answer: 16 terms
Step-by-step explanation:
Answer:
The answer is 16 terms.
The secend part of the question is B. 2∧15x∧15
If a= 2ft and c= 11ft. Find the missing side of the right triangle
Answers
Answer:
[tex]\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
The formula for finding the any side of the triangle is
[tex]a^{2}+b^{2} =c^{2}[/tex]
We know that a=2 and c=11, so we can go ahead and plug those into the formula.
[tex]2^{2}+b^{2} =11^{2}[/tex]
[tex]4+b^{2} =121[/tex]
To find side b, we have to make it alone on one side. Subtract 4 on both side.
[tex]b^{2} =117[/tex]
Now square root both sides, and that leaves us with:
[tex]b=\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
15.6 ÷0.24 In long division form
Answers
Lena is making a banner for her little sister's birthday party. She tapes together pieces of construction paper until the banner is 3 feet long. Each piece of paper is 9 inches long. How many pieces of paper does Lena need?
Answers
Answer: lana need 3 peices
Step-by-step explanation: i did a test with this qestion and it said 3 peices was the right answer
Answer:
4
Step-by-step explanation:
pls help asap thx alot
Find the missing angle
Answers
Answer:
v = 60
Step-by-step explanation:
65 + 55 + v = 180
65 + 55 = 120
180 - 120 = 60
v = 60
write a polynomial function of the least degree with integral coefficients that has the given zeros.
\/
-5+i
Answers
Step-by-step explanation:
Degree: 3
Zeros: -3, 3 + √3i
Solution point: f(-1) = -172
(a) Write the function in completely factored form.
f(x) =
(b) Write the function in polynomial form.
f(x) =
PLEASE HELP 1 MILLIOM POINTS!!! line n containing Q(-2,5), and perpendicular to the graph of y= -1/2x+5
PLEASE EXPLAIN IF YOU DO YOU ARE AEWSOME!! I WILL GIVE BRAINLIEST TO BEST ANSWER!!!
Answers
Answer:
y = 2x + 9Step-by-step explanation:
Perpendicular lines have negative - reciprocal slopes
Given line:
y = -1/2x + 5Perpendicular line:
y = 2x + bUse point Q(-2, 5) to complete the equation of the line:
y - 5 = 2(x - (-2))y - 5 = 2x + 4y = 2x + 9Gordon rolls a fair dice 114 times.
How many times would Gordon expect to roll a two?
Answers
Answer:
19!
Step-by-step explanation:
Probability of getting "2" in 1 roll = 1/6
No: of times played = 114
Times expect to roll a "2" in 114 times = 1/6 x 114 = 19
I hope im right!!
(╯°□°）╯︵ ┻━┻
please help me
Answers
Answer:
Step-by-step explanation:
Mean : average
Median : the number in the middle of the set
Mode: number repeated the most
Can someone plz help me!!! I’m being timed!!!!
Answers
Answer:
Step-by-step explanation:
Answer:
2:12
4:24
6:36
8:48
Find the area of the polygon A) 96 m2 B) 192 m2 C) 208 m2 D) 224 m2
Answers
6x16 = 96
Area of Rectangle two:
8x14 = 112
Total Area:
112+96 = 208 cm cubed
Hope this helps!! :)
What are three transition words that go against an argument?
A) But
B) Conversely
C) On the other hand
D) Finally
E) Additionally
Answers
Answer:
A) But
B) Conversely
C) On the other hand
( 11x + 21 )°
X = ?
Find X
Answers
Answer:
THE ANSWER IS........ I LOVE YOU!
Step-by-step explanation:
WHY: choose you every day, and I'm so lucky you choose me, too. You're my first thought every morning and my last thought before I go to sleep. You inspire a love in me that I never knew was possible
Write an equation to find the area of each figure.Then determine the area.Use 3 for pi.
Answers
48 calculated on my calculator and i worked it out irl your welcome
tell whether the ordered pair is a solution of the linear system
Answers
4) No, the second equation ends up as 26=11, which is false
5) No, the second equation ends up as -4=0, which is false