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ollegr [7]
3 years ago
5

Aguy wire for a tree is 20 ft. long, making a 21oangle with the ground. How far is the base of the tree from a stake anchoring t

he wire?

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

The base of the tree from a stake anchoring the wire is 18.67 feet far.

Step-by-step explanation:

Given:

the length of the wire  = 20 feet

Angle that the wire makes with the ground = 21 degrees

To Find:

The Distance from the base of the tree from the stake anchoring wire = ?

Solution:

We we construct a figure using the given data we end up with the right triangle as shown below

So now we can use the cosine ratio to find the distance from the base of the tree to the anchoring wire

Let d be the distance of  base of the tree from a stake anchoring the wire

Cos(angle)  =\frac{\text{Adjacent side}}{Hypotenuse}

On substituting the values we get

cos(21^{\circ}) =\frac{d}{20}

d = cos(21^{\circ}) \times 20

d = 0.9335 \times 20

d = 18.67 feet

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prohojiy [21]

Answer:

x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x over the real numbers:

x/x - 1 = x - 3 - 2/x

x/x - 1 = 0:

0 = x - 3 - 2/x

0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:

x - 3 - 2/x = 0

Bring x - 3 - 2/x together using the common denominator x:

(x^2 - 3 x - 2)/x = 0

Multiply both sides by x:

x^2 - 3 x - 2 = 0

Add 2 to both sides:

x^2 - 3 x = 2

Add 9/4 to both sides:

x^2 - 3 x + 9/4 = 17/4

Write the left hand side as a square:

(x - 3/2)^2 = 17/4

Take the square root of both sides:

x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

3 0
3 years ago
Write the equation of a line that is perpendicular to the line y= - 1/3x +8 and passes through the point (0,-4)
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8 0
3 years ago
What is 9 times 9<br> It’s so hard
steposvetlana [31]
9x9 is 81 and yes its very hard haha
5 0
3 years ago
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Which statements about squares and equilateral triangles are true?
12345 [234]
Answer,a and b, sorry if they are wrong
5 0
3 years ago
I need help understanding this and help with the problems...
Pavel [41]

1. 15+37=?

  • 15=10+5 (given on the diagram)
  • 37=30+7 (given on the diagram)
  • add digits to digits 5+7=12=10+2
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  • add tens and digits 50+2=52.

2. 22+49=?

  • 22=20+2 (given on the diagram)
  • 49=40+9 (given on the diagram)
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  • add tens and digits 70+1=71.

3. 38+26=?

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Answer: 1) 52; 2) 71; 3) 64.

7 0
3 years ago
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