Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
her phone that will measure an angle of elevation. She determined she was 100 feet from the base of the
building. She held her phone (with the app) at eye level (about 5 feet off the ground) and measured the angle
of elevation to the top of the building to be 82°. What is the height of the building to the nearest foot?
Answers
Answer:
The height of the bullding is 717 ft
Step-by-step explanation:
Right Triangles
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
[tex]\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
[tex]\displaystyle \tan 82^\circ=\frac{h}{100}[/tex]
Solving for h:
[tex]h = 100\tan 82^\circ[/tex]
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Related Questions
HI WHAT IS 7/6 OF 456327=
PLEEEEAAASE HEEEELLLP ME!!!!!!!!
Answers
Answer:
532381.5
Step-by-step explanation:
456327 divided by 6 to get 1/6 = 76054.5
76054.5 x 7 to get 7/6 = 532381.5
or 456327 (6/6) + 76054.5 (1/6) =532381.5
simplify
5p - 4p - 4p
Answers
Answer:
-3p
Step-by-step explanation:
Answer:
-3p
Step-by-step explanation:
5p - 4p = 1p - 4p = -3p
Question 7(Multiple Choice Worth 1 points)
(05.02 MC)
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?
Approximately 26–34 pounds
Approximately 24–36 pounds
Approximately 28–32 pounds
Approximately 29–31 pounds
Answers
Answer: C
Step-by-step explanation: I took the test and got it right
A and B are two mutually exclusive events.
P(A) = 0.3 and P(A or B) = 0.7
Work out the value of P(B).
Answers
a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side
Answers
Answer:
1
Step-by-step explanation:
Enter a formula using k to connect the two variables.
F is proportional to a.
Please help
Answers
Answer:
Weres The Formula?
Step-by-step explanation:
Answer:
f=ka
Step-by-step explanation:
Please help it’s a test and I only have 50 minutes left
Find x. Round to the nearest hundredth if necessary.
Answers
Answer:
60
Step-by-step explanation:
X is equal to 60 degrees
help please will give brainliest PLEASE
Answers
Answer:
I think the answer is b the answer is b
Answer:
The answer is really and surely B
3 of 8
The area of a circle is 16.71cm2.
Find the length of the radius rounded to 2 DP.
Answers
Answer:
Radius = 2.31 cm
Step-by-step explanation:
Area of circle = 16.71 square centimeters
[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]
Radius of circle = 2.31 centimeter
25,002,000 in scientific notation
Answers
Answer:
2.5002 × 10^3 i think, dont quote me on that
Step-by-step explanation:
Number 8 please I don’t know anything
Answers
Answer:
A. Domain: 1,2 Range: 0,1,4
B. Domain: 0,2,4, Range: 1,2,3,
Step-by-step explanation:
Domain is the x axis
Range is the y axis
60 plus 18% ill give brainliest :)
Answers
Answer:
70.8
Step-by-step explanation:
YOU'RE WELCOME
evaluate 11.5x + 10.7y when x = 3 and y = 4
Answers
Answer: 77.3
Step-by-step explanation:
11.5(3)+10.7(4)
11.5 times 3 equals 34.5
and 10.7 times 4 equals 42.8
34.5 plus 42.8 equals 77.3
Answer:
77.3 (see below)
Step-by-step explanation:
To solve, plug in the values given into the expression given and simplify:
11.5x + 10.7y
11.5 (3) + 10.7 (4)
34.5 + 42.8
77.3
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Answers
Answer:
34
Step-by-step explanation:
Calculate the perimeter of this shape.
12 cm
18 cm
Answers
Answer:
Step-by-step explanation:
P = 2l + 2w
= 2(12) + 2(18)
= 24 + 36 = 60
5x + 4x - 4x plz help me
Answers
hipe that helps
WILL GIVE BRAINLIEST
A line has a slope of 2 and a y-intercept of 9, what is the equation of the line
Answers
Answer:
y=2x+9
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope (2)
b is the y-intercept (9)
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=2x+9
can someone help me with this?
-5k = 12
thanks!
Answers
Answer:
Not sure what you wanted but here Divide each term by
−
5
-
5
and simplify.
Exact Form:
k
=
−
12
5
k
=
-
12
5
Decimal Form:
k
=
−
2.4
k
=
-
2.4
Mixed Number Form:
k
=
−
2
2
5
Step-by-step explanation:
Answer:
k= -2.4
Step-by-step explanation:
y = 3x - 1
y = x - 7
Solve with Substitution
Answers
(-3) Y = x - 7. -3y = -3x + 21
-2y = 20
-2. = -2
Y = - 10
Y = 3x - 1
-10 = 3x - 1
+ 1. + 1
-9. = 3x
3. 3
-3 = x
(-3,-10)
Solve the equation [2] for the variable of y
2 . Y = x-7
Plug this in for variable y in the equation [1]
1 (x -7 ) -3x = -1
1 -2x = 6
Solve the equation [1] for the variable x
1 2x =-6
1 x= -3
By now we know this much
Y = x-7
X =-3
Use the x value to solve for y
Y= ( -3 ) -7 = -10
Type the missing number in this sequence:
47, 51, 55, 59, ,
PLEASE HELP
Answers
HELP PLS PLSSSSS
ASAP
Answers
Answer:
9(9d+4)
Step-by-step explanation:
Hope I helped!
Find the 10th term in the
following sequence:
-21, -27, -33, -39,
Answers
plz help me
(a²-b²)²+a²b²
factorise
plzz
Answers
Answer:
a^4+b^4−a^2b^2
Step-by-step explanation:
Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 What is the standard deviation of the data? 0 pounds 4.66 pounds 5.03 pounds 25.33 pounds
Answers
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
Answer:
5.03 Pounds (C)
ED2021
The person above me is right, but you gotta solve for sample data; not population.
!This is for standard deviation!
PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s
Answers
Answer: 3/2 cm per second
========================================================
Explanation:
We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.
The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.
We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.
how is the following written with only one exponent?
a^3 . a^5
Answers
Answer:
The expression 103 is called the exponential expression. ... The exponent applies only to the number that it is next to. ... If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 ... From row 1 to row 2, the exponential form goes from 105 to 104. ... Following the pattern, you see that 100 is equal to 1.
Step-by-step explanation:
Compared to last year the population of city had decreased by 15% the population is now 6800 what was the population last year?
Answers
Answer:
6800 x ( 100%-15% ) =5780 population
Step-by-step explanation:
-20t>-80 what is t and how do you graph it on a nuberline
Answers
Answer:
Step-by-step explanation:
Divide both sides by -20. If you divide by a negative, you have to switch the inequality sign. So now you have this for t:
t < 4
Draw a circle around 4 on a number line, but do not shade it in. Then everything below 4 is the right answer for the value of t.
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 42mm.
Answers
Answer:
20mm
Step-by-step explanation:
base=20mm
base x 2 because there are two long lines
20 x 2 = 40
42-40=2
amount needed on either side to balance
height=1mm
20 x 1 = 20mm
area = 20mm
Answer:
Let the length of the rectangle be 'l'
We have,
Perimeter of rectangle, P = 42mm.
[tex]or, 2(l+b) = 42\\or, l +b = \frac{42}{2} = 21\\or, l + 20 = 21\\or, l = 1mm\\[/tex]
Area of rectangle = [tex]lb = 1(20) = 20mm^{2}[/tex]
What is the slope of this line
Answers
Answer:
K=2
Step-by-step explanation:
I es Smrt