The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answers
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
Related Questions
how do u find volume of a rectangle
Answers
Not mistaken
Answer:
the length of the rectangle times the wedth of the rectangele by 2
In the system of equations , x represents .... ( please answer 12a and 12b )
Answers
Answer:
x = cost of each t-shirt
y = cost of each sweatshirt
Step-by-step explanation:
Given equation:
2x + 2y = 26 (1)
x + 3y = 33 (2)
From (2)
x = 33 - 3y
Substitute x = 33 - 3y into (1)
2x + 2y = 26 (1)
2(33 - 3y) + 2y = 26
66 - 6y + 2y = 26
- 6y + 2y = 26 - 66
-4y = -40
y = -40/-4
y = 10
Substitute y = 10 into (2)
x + 3y = 33 (2)
x + 3(10) = 33
x + 30 = 33
x = 33 - 30
x = 3
Where,
x = cost of each t-shirt = $3
y = cost of each sweatshirt = $10
Translate this sentence into an equation. 46 is the sum of 21 and Mabel's savings.
Answers
Please help
Honestly cant understand
Answers
Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.
You should get, x=20.
Kadeesha has a point card for a movie theater.
She receives 50 rewards points just for signing up she earns 12.5 points for each visit to the movie theater she needs at least 210 points for a free movie ticket right and solve for an inequality the number of visits kadeesha can make to earn her first free movie ticket
Answers
Answer:
50 + 12.5 v ≥ 210
She needs at least 13 visits
Step-by-step explanation:
points for signing up + points per visit* number of visits ≥ 210
50 + 12.5 v ≥ 210
Subtract 50 from each side
50 + 12.5 v -50 ≥ 210-50
12.5 v ≥ 160
Divide by 12.5
12.5 v/12.5 ≥ 160/12.5
v ≥ 12.8
She needs at least 13 visits
Answer:
Step-by-step explanation:
How many quarters are there in 5 and 3/4
Answers
Answer:
23
Each 1 has 4 quarters
5*4=20
20+3
23
Step-by-step explanation:
factorise:
k² - 2k - 8
with explaining the steps
Answers
Answer:
( k-4)(k+2)
Step-by-step explanation:
k² - 2k - 8
What 2 numbers multiply to -8 and add tp -2
-4*2 = -8
-4+2 = -2
( k-4)(k+2)
Refer to the attachment for steb-by-step explanation.
Factor the polynomial 3X² + 5X - 2.
Answers
Answer:
(x+2)(3x-1)
Step-by-step explanation:
3x^2 + 5x -2
we need two numbers which gives 6 when multiplied and 5 when subtracted.
so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,
3x^2 + (6-1)x -2
3x^2 +6x -x -2
take common from first two terms and from third and fourth term
3x(x+2) -1(x+2)
take (x+2) as common
(x+2)(3x*1 -1*1)
(x+2)(3x-1)
I. NEED. HELP! PLEASE!
Answers
Answer:
x = 2.5
Step-by-step explanation:
We know the adjacent and the opposite sides to the angle in a right triangle
tan theta = opp / adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2 / tan 26
x =2.46036461
Rounding to the nearest tenth
x = 2.5
tan tita = opp/adj
tan 26°=1.2/x
x=1.2/tan 26
x=2.46
x=2.5
Graph h(x)=-x^4 +3
Use the parabola tool then choose the vertex followed by one point on the parabola.
Answers
The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
h(x)=-x^4 +3
so, The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
To learn more on graph click:
brainly.com/question/17267403
#SPJ2
Find the value of x in the isosceles triangle shown below
Answers
Answer:
x²+4² =8²
x²+16 =64
x² =64-16.
x² =48
x. =√48
answer is option D
Answer:
D
Step-by-step explanation:
The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take the square root of both sides )
x = [tex]\sqrt{48}[/tex] → D
if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?
Answers
Answer:
72
Step-by-step explanation:
1 stamp costs 0.36 cents
Then, 200 post cards will cost 0.36 × 200 = 72
Answer:
$72 dollars
Step-by-step explanation:
200 x 0.36 = 72
please help find x!! asap
Answers
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
Pls help I need this
Answers
Answer:
what you need help in we see nothing
What’s the answer?? Pls help
Answers
Answer:
11
Step-by-step explanation:
w
Hey!! Can you guys help me !!
No links!!
No spams!!
Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
Answers
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360Question and choices are in the photo please explain the answer
Answers
Answer:
336
Step-by-step explanation:
The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.
Therefore:
5! = 5 x 4 x 3 x 2 x 1 = 120.
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
8!/5! = 40320/120
40320/120 = 336
Solve for x.
2/5 ≤ x-4
Answers
2/5 ≤ x-4
0.4 ≤ x-4
let's just add 4 on both sides
0.4 +4 ≤ x-4 +4
4.4 ≤ x
simple as that. just handle inequalities like you would handle equations
Which number could represent point Z
Answers
Please help. Thank you. (30 points included) (Shown work)
Answers
Answer:
True
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.
-40 divided by what makes -4
Answers
Answer:
10
Step-by-step explanation:
<3
can someone help please...
Answers
Answer:
the answer is median (b)
PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED
explaining your answer = brainliest
The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?
answer has to be in SIMPLEST form
Answers
Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angleStep 1: Plug in for C and r.
A = [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]Step 2: Solve.
A = [tex](\frac{1}{10})4\pi[/tex]A = [tex]\frac{2}{5} \pi[/tex]Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
4x² + 3 = -7x
solve for x
x=_,_
Answers
[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]
pls help me i need help asap 30!! points pls help on all 4 questions
Answers
Answer:
b
d
a
d
Step-by-step explanation:
Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.
Answers
14x10x34
140x34=4760
HELP ASAP PLS I NEED HELP
Answers
Answer:
B
Step-by-step explanation:
r^2 is 0.9997, and after 10 years it'll be 95660
need help with thisss
Answers
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answers
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.
Answers
Given:
A car traveled 150 km in 3 hour.
To find:
The unit rate.
Solution:
We have,
Distance = 150 km
Time = 3 hours.
In this case speed is the unit rate.
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Substituting the given values, we get
[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]
[tex]Speed=50\text{ km/h}[/tex]
Therefore, the unit rate is 50 km/h.
