1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
What is the measure of the missing angle in the figure below?
Aleks [24]
Sum of all interior angles in a triangle = 180
let missing angle = x

x + 144 + 13 = 180
x + 157 = 180
x = 23

answer
23 degrees
7 0
3 years ago
Read 2 more answers
A videp store took $450 in DVD rentals during one day . If DVDs rent for $9 each , how many DVDs were rented.
Masja [62]

Answer:

50

Step-by-step explanation:

let x = total DVD rentals

450=9x

450/9=x

50=x

50 DVDs were rented

4 0
2 years ago
Level 3<br> Solve: |x + 2|– 5 = -1
leonid [27]

Answer:

x=−6

x=2

Step-by-step explanation:

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

∣x+2∣−5=−1

Add 5 to both sides of the equation.

∣x+2∣=4

Use the definition of absolute value.

x+2=4

x+2=−4

Subtract 2 from both sides of the equation.

x=2

x=−6

6 0
3 years ago
After two plays the wildcats gained a total of 16 yards. If X represents the number of yards for play one, and Y represents the
Taya2010 [7]
The equation for this problem would be:
x+y = 16
Rearranging the equation, it can be expressed as:
y = 16 - x

To obtain ordered pairs, replace random values of x up to 16 to find the value of y. The ordered pairs are tabulated and the graph is shown in the attached picture.

8 0
3 years ago
Mr. fudge is going to roll two fair dice. what is the probability that the sum will be 4 or less?
Kay [80]

Answer:its going to be 8

Step-by-step explanation:because 4 + 4 = 8,

4 is a fair number and equal.

4 0
3 years ago
Other questions:
  • Please factor...<br> (-14xy - 28y) + 6x^2 + 12xy)
    15·1 answer
  • The sum of the least and greatest of three consecutive integers is 72 . what are three integers?
    5·1 answer
  • 7 times 7 times 7 times 10 times 3
    14·2 answers
  • Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
    10·1 answer
  • Graph the line with the equation y = 2x – 3.
    5·1 answer
  • Find the value of x.<br><br> HELP!!!! I WILL GIVE BRAINLIEST ANSWER!!! <br> POINTS!!!
    11·1 answer
  • HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
    6·2 answers
  • Tell me yalls playlist‍♀️​
    5·1 answer
  • What is 7/14 fractions im in class and i dont know.? Can anyone help me????.
    5·2 answers
  • HELPPP plsssssss (apparently it’s not x&lt;10 sooo)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!