From her eye, which stands 1.74 meters above the ground, Sophia measures the angle of elevation to the top of a prominent skyscraper to be 44∘If she is standing at a horizontal distance of 369 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
The height of the skyscraper for the considered case is evaluated being of 358 meters approx.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
How to use right triangles to find the height of the specified sky scrapper?Remember that we assume that building is vertical to the ground. This means, there is 90° formation.
For this case, referring to the figure attached below, we get:
The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters
Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:
[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]
(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )
Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.
Learn more about tangent ratio here:
https://brainly.com/question/19594654
3.75
Word form
please help
Answer:
three and seventy-five hundredths or three point seven five
Step-by-step explanation:
What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?
Answer:
56xy23
Step-by-step explanation:
56 x 12 bhi 56 xy23
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
Can some help me i don't understand how to do this math!!
Answer:
Step-by-step explanation:
[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]
? = 2x -x = x
Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce
Answer: 12.71
Step-by-step explanation: 50.84 divided by 4 = 12.71
If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made
Answer:
2:6 and 1:3.
Step-by-step explanation:
18 divided by 9 = 2
54 divided by 9 = 6
18 divided by 18 = 1
54 divided by 18 = 3.
Hope that helps. x
Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .
Step - by - step explanation :
18:54 divided by 6/6 = 3:9
3:9 divided by 3/3 = 1:3 <-- simplest form :D
Convert the equation g(x) = −(x − 7)2 +5 into standard form.
Answer:
7
Step-by-step explanation:
You have to add 2 and 5, the rest is stuff to distract you
Darius and his friends bought 3 pizzas. Each pizza cost $9.89. They paid for the pizzas with 20 dollar bills.
How much change did they get?
Enter your answer in the box.
$|__|
Answer:
10.33
Step-by-step explanation:
9.89x3$29.67
40-29.67=$10.33
When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?
Original Equation:
3(x + -3) = -1
First Step:
3x + -9= -1
1. associative property of multiplication
2. division property of equality
distributive property of multiplication over addition
3. subtraction property of equality
Answer:
i think 2. division property of equality
distributive property of multiplication over addition
The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms
Answer:
20
Step-by-step explanation:
first term + second term = 4
tenth term = 19
fifth term + sixth term = ?
Since this is an arithmetic sequence:
first term = a
second term = a+d
tenth term = a+9d
Then we have
[tex]2a+d=4 \\ a+9d=19[/tex]
Upon solving the system of equation we have:
[tex]a=1 \\ d=2[/tex]
Since:
fifth term = a+4d
sixth term = a+5d
The final answer is:
fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]
Rsound answer to two decimal places
80.75757575757575757575
Answer:
[tex]80. \bar{75}[/tex]
Pls help ion know how to this jaunt
Answer: a very straight forward b 2 4 and 6 c 9
Step-by-step explanation:
Someone please help me with this it’s an emergency
Answer:
The answers are given in the photo
can i get some help on this question?
Find the measure of 44.
23/24
147/33°
339/147
4.4 = [?]
Select all of the tables that show a proportional relationship between x and y.
Answer:
The First Table
Step-by-step explanation:
All values can be said to be directly proportional to one another being multipled by 3.
Asap?
Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?
X Y
1 2
4 6
8 10
12 14
X Y
2 1
6 4
10 7
14 10
X Y
1 2
2 6
3 10
4 14
X Y
2 1
4 4
6 7
8 10
Answer:
the 2nd one lol
Step-by-step explanation:
Answer:
number 2ᕙ(＠°▽°＠)ᕗStep-by-step explanation:
What is 1.3742 rounded to the nearest tenth?
Answer:
1.4 that is the true answer
Step-by-step explanation:
go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is
simplify √20 x √5
10
4√5
√10
Question 2 of 10
What is the quotient of the following division problem?
89: 7 = ?
O A. 12r5
O B. 12 r4
O C. 11r5
O D. 14 r4
Answer:
A is correct: 12r5
Step-by-step explanation:
7 divides into 89 12 times with a remainder of 5. Answer A is correct: 12r5
someone please help me
Answer:
m = 5
Step-by-step explanation:
Since the triangles are similar in the way shown, then
6/10 = 3/m
6m = 10 × 3
m = 5
Fill in the missing value for Y,
then click DONE.
y = 2x + 3
Answer:
x = 2 so y = 7
x = 4 so y = 11
Step-by-step explanation:
y = 2x + 3
x = 0 so y = 2(0) + 3 | y = 3
x = 2 so y = 2(2) + 3 | y = 7
x = 4 so y = 2(4) + 3 | y = 11
x = 6 so y = 2(6) + 3 | y = 15
What is the exact length of AB ?
Answer:
B
4*2=8
Hope This Helps!!!
xº
520
38°
220°
X = degrees
by taking complete angle
52+38+220+x=360
310+x=360
x=360-310
x=50
[tex]\sqrt{3} sinx+cosx=2[/tex]
Answer:
Solution is in the photo
A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet
Answer:
Step-by-step explanation:
The length of the road is 7 * 5280 = 36960 feet
The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.
6/100 * 36960 = 221760/100 = 2217.6 is the rise.
Complete the sentence below.
If 8^x= 8^3, then x =
[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]
Work out length AC.
10 cm
Not drawn
accurately
120
7 cm
Step-by-step explanation:
Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.
4x+y=10 ( ?,-6)
Find the missing value. Show all work.
Answer:
(4 , -6) x = 4.
Step-by-step explanation:
Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.
so now we know that ( ? , -6) has an X value which is unknown.
inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)
now plot the y value into the equation
4X + Y = 10 , Y = -6
4X + (-6) = 10
4X + - 6 = 10 ...... we know that A + - B = A - B
4X - 6 = 10
now take -6 to the right side
when -6 is taken to the right side, it changes to +6
and so ..
4X = 10 + 6
4X = 16
now divide both sides by 4 to find X
4X / 4 = 16 / 4
4 the coefficient of X which is 4 cancels with out denominator which is now 4
X = 16 / 4
16 ÷ 4 = 4.