As the students were approaching the park, they noticed a huge tower that was just
being completed. Lucas and Jacob were part of the group responsible for looking at
advertising. They couldn’t help but to think, one of the main attractions of the park
would be the ride involving this tower. It was a bright, sunny day. As they got off
the bus, they collected the mathematical materials provided by their teacher. These
materials included: pencil, paper, eraser, calculator, measuring tape, a
clinometer (a tool used to measure vertical angles). They walked through the
park until they reached the shadow of the tower. They looked up and couldn’t
believe how high it was
Q: If they are going to advertise, the height of the tower in a brochure that is
being created, they want to be sure of their answer. Describe how they
could use the materials they have and trigonometry to determine the
height of the tower. The explanations should include a detailed diagram,
clear step by step instructions making use of terminology appropriately
and even examples showing the calculations to be used to determine
the height.
Answers
The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.
First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.
Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).
So at this point, we know one angle and the adjacent cathetus to that angle.
And we want to find the height of the tower, which is the opposite cathetus to the known angle.
Then we can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Replacing these by the things we know:
tan(θ) = H/S
tan(θ)*S = H
Then, by measuring θ and S, we can find the height.
If you want to read more about triangle rectangles, you can see:
https://brainly.com/question/16893462
Related Questions
50. The probability of passing an examination is 0.77. What is the probability of failing the examination? A. 0.33 0.77 B. 0.23 D. 0.72
Answers
Answer:
0.23
Step-by-step explanation:
If the probability of passing the examination is 0.77
Then the probability of failing the examination is 1 - 0.77 = 0.23
Rewrite 4/6 : 1/3 as a unit rate.
A. 12:6
B. 12:1
C. 2:1
D. 2/9
Answers
Answer:
C
Step-by-step explanation:
(4/6) : (1/3), multiply by 3 both sides
(4/2) : 1 = 2:1
Answer:
A. 12:6
Step-by-step explA. 2
SE MULTIPLICA 4X3 Y 6X1
x + x(x + y) + y; use x = 4, and y = 1
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x + x(x + y) + y}[/tex]
[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]
[tex]\huge\text{= 4 + 4(5) + 1}[/tex]
[tex]\huge\text{= 4 + 20 + 1}[/tex]
[tex]\huge\text{= 24 + 1}[/tex]
[tex]\huge\text{= 25}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Hi,
we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1
equation: X + X (X + Y) + Y
equation after substituting the numbers: 1 + 1 (1 + 4) + 1
Bidmas rules apply.
expand the bracket first. 1 (1 + 4)=
1 X 1= 1
1 X 4= 4
1 + 4 = 5
then the equation becomes: 1 + 5 + 1= 7
your answer is 7 if you want to evaluate it.
your answer is 1 + 1 (1 + 4) + 1 if you need the equation.
, hope that helps :)
Please help solve this. 10points worth it
Answers
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answers
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
Answers
Solve by factoring
6x^2 +13x -28 =0
Answers
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
100 divided by 3.2 Thank u
Answers
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
Approximately 9.2
Step-by-step explanation:
For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:
9^2 + 2^2 = c^2
81+4 = c^2
c = √85, or approximately 9.2
Is 100.1 rational or irrational
Answers
Answer:
It's rational number
Step-by-step explanation:
if a number is non stop it is irrational
it a number stops as it stopped here at 1 so it's a rational number
Answer:
Rational
Step-by-step explanation:
It's a decimal with no recurring digits:)
Can someone help me please will Mark brainliest
Answers
Answer:
The answer that I got is C I hope I'm right
Answer:
An integerOAmalOHopeO
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
Answers
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
= -2
[ use BODMAS rule]
Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y
Answers
Answer:
D: k*x=y
Step-by-step explanation:
a proportional relationship is basically a linear equation (y=mx+b)
convert 72° into grades.
Answers
Answer:
[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]
I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?
Answers
It would have to be 85
Answer:
85
Step-by-step explanation:
(89+92+94+ x)/4>90
(275+x)/4>90
275+x>90
x> 85
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answers
Answer: a
Step-by-step explanation:
Express -5/8 as a rational number with -24 as the denominator
Answers
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answers
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
What is the equation of the line?
Answers
The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values
Answers
Answer: C. a set of input values
The domain is the set of allowed x values, aka input values.
With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.
Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.
Other types of domain problems can occur, but those two types are most common in my experience.
please help me!!
how many times does 10% go into 34,950,101?
Answers
Answer:
10
Step-by-step explanation:
If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.
＝34950101÷10/100
＝34950101×100/10
＝34950101×10
＝349501010
Hope my answer helped u :)
Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answers
Answer:
b = 19.6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2+ b^2 = 28^2
400 + b^2 = 784
b^2 = 784-400
b^2 =384
Taking the square root of each side
sqrt( b^2) = sqrt(384)
b =19.59591794
To the nearest tenth
b = 19.6
Answer:
19.6
Step-by-step explanation:
It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2
a=20
b=?
c=28 - c is the hypotenuse because it is across from the right angle
20^2 + b^2 = 28^2
400+ b^2 =784
b^2=384
b= 19.595917... or 19.6 (rounded to nearest tenth)
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answers
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answers
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answers
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
16 + 28 = ___ ´ (4 + 7).
Answers
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
which of the following are remote interior angles of 5 ?
Answers
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
Can someone give me the answer asap thanks.
Answers
D. 2x⁶y²
This is the equivalent expression.
Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]
Answers
Answer:
X is 11.8
Step-by-step explanation:
You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.
