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
Mumz [18]
3 years ago
9

2. A guy wire for a tree is 20 ft. long, making a 21o angle with the ground. How far is the base of the tree from a stake anchor

ing the wire?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Answer:

the base of the tree from a stake anchoring the wire is 18.7 ft long

Step-by-step explanation:

A guy wire for a tree is 20 ft. long, making a 21 degree angle with the ground.

It forms a right angle triangle. the hypotenuse of the triangle is 20 ft

The adjacent side of the given angle 21 degree is the base of the tree from a stake

Let x be the base length

cos(theta)=\frac{adjacent}{hypotenuse}

cos(21)=\frac{x}{20}

20cos(21)=x

x=18.7

the base of the tree from a stake anchoring the wire is 18.7 ft long

You might be interested in
How would you match these up?
TEA [102]
<h3>Answer: Bottom right corner (ie southeast corner)</h3>

This 3D solid is a strange sideways bowl shape. Each cross section is a ring to show the empty space.

======================================================

Explanation:

Check out the diagram below. The graph was created with GeoGebra. We have y = x^2 in red and x = y^2 in blue.

The gray region is the region between the two curves. We spin this gray region around the horizontal green line y = 1 to generate the answer mentioned above.

Note how (1,1) is a fixed point that does not move as this is on the line y = 1. Every other point moves to sweep through 3D space to create the solid figure. One way you can think of it is to think of propeller blades. Or you can think of a revolving door (the door is "flat" so to speak, but it sweeps out a 3D solid cylinder).

5 0
3 years ago
It is known triangles abc is congruent to def . If AB=5 and BC=10, AC=8 and DF=2x-6 solve for x.
Pepsi [2]
So df = 8 so then 2x-6=8 which means that x is 7
5 0
3 years ago
Can someone please help me with this?​
Scorpion4ik [409]

Answer:

true 8 is the common

please follow me so I will follow you

5 0
3 years ago
Read 2 more answers
What is the value of​ x?
olchik [2.2K]

Answer:

x = 4 sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = 4/x

Multiply x to each side

x sin 45 = 4/x *x

x sin 45 = 4

Divide each side by sin 45

x sin 45 / sin 45 = 4 /sin 45

x = 4/ sin 45

We know sin 45 = sqrt(2)/2

x = 4/ sqrt(2) /2

x = 8/ sqrt(2)

We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)

x = 8/ sqrt(2) * sqrt(2)/sqrt(2)

x = 8 * sqrt(2) /2

x = 4 sqrt(2)

3 0
3 years ago
Read 2 more answers
How much water is needed to completely fill up a swimming pool with dimensions of 18 ft by 36 ft by 5 ft?
vfiekz [6]

Answer:

i think 648

Step-by-step explanation:

Area = Length times width

18 times 36 = 648

But It could be 3,240

18 times 36 times 5

3 0
3 years ago
Other questions:
  • Julia has correctly answered 35 questions from a test, which is 7/12 of the total. How many questions did the test have?
    13·1 answer
  • What is the perimeter of triangle with side lengths of 29, 15, and 4xy?
    6·1 answer
  • Let p: A shape is a triangle. Let q: A shape has four sides. Which is true if the shape is a rectangle? p ∨ q p ∧ q p → q q → p
    15·2 answers
  • the population of the city in north carolina is 403,892 what is 403,892 rounded to the nearest thousand
    14·2 answers
  • Round 24579 to 3 significant figures ​
    8·1 answer
  • Twelve people are being honored for their work in reducing pollution. In how many ways can we line up these people for a​ pictur
    10·2 answers
  • Which of the following is equivalent to 5(z+3)-4(1+p)?
    8·1 answer
  • Please help must show work
    15·1 answer
  • Question 5
    9·1 answer
  • Could someone please help me? Will mark brainlist!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!