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ra1l [238]
3 years ago
13

A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg

ree angle. How long is the rope, rounded to the nearest tenth place?

Mathematics
2 answers:
Crank3 years ago
8 0

Answer: 20 feet.

Step-by-step explanation:

From the given information, it is clear that the tent is vertical to the ground .

Therefore, they altogether make a right triangle with hypotenuse (h) and angle of elevation 30^{\circ}.

By trigonometry,

\sin\ x=\frac{\text{side opposite to the x}}{\text{hypotenuse}}\\\Rightarrow\ \sin(30^{\circ})=\frac{10}{h}\\\Rightarrow\ \frac{1}{2}=\frac{10}{h}\\\\\Rightarrow\ h=20

Hence, the length of the rope (h)=20 feet.

GrogVix [38]3 years ago
6 0
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
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You want to put $2,500 in a simple interest account.It has a 4% annual interest rate.How long will it take you to earn $200 in i
prohojiy [21]
It will take 2 years.

Year 1 :
4% 2.5k = 2.5k/100 × 4 = $100 in interest

$2.5k + $0.1k = $2.6k

Year 2 :
4% 2.6k = 2.6k/100 × 4 = $104 in interest

$100 + $104 = $204 > $200

There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
7 0
3 years ago
Plz help me I need because it’s one of my last assignments for school
Brums [2.3K]

Step-by-step explanation:

straight line = 180 degree

example

1) 2w - 24 + 2w - 40 = 180

4w = 180 + 24 + 40

4w = 244

w = 244/4

.......

2) 13n - 11 +(-9 + 12n)

13n - 11 -9 + 12n = 180

25n -20 = 180

25n = 180 + 20

25n = 200

n = 200/25

.........

8 0
3 years ago
Charlie Carr has a sheet of brass that is 33 inches wide and cuts two pieces that are each 8
denis-greek [22]

Answer: The width of the leftover brass is 17 inches.

Step-by-step explanation:

Hi, to answer this question, first, we have to add the width of the pieces cut.  

Mathematically speaking:

8 in +8 in = 16 in

Now, we have to subtract that result to the width of the sheet of brass.

33 in -16 in = 17 in

The width of the leftover brass is 17 inches.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
A soda machine takes 3 seconds to fill a 15-ounce cup. If t represents the time in seconds, which equation can you use to find h
Svet_ta [14]

Information we know:

a 15 ounce cup takes 3 second to fill

determine variables:

x=3

y=15

rate:

y/x=3/15= 0.2

fixture an equation:

y=kx

y=0.2x

plug in 40 for x:

y=0.2(40)

=8

Thus, it should take 8 seconds to fill a 40-ounce cup of soda.

8 0
3 years ago
Read 2 more answers
Solve 6x-2y = 10 for y<br> A. y = 3x - 10<br> OB. y = -6x + 10<br> O C. y = 6x + 5<br> D. y = 3x - 5
Rufina [12.5K]
D.y=3x-5
cuz 2y=6x-10
6 0
2 years ago
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