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Westkost [7]
3 years ago
15

The model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire pa

rallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

Yes, because the two triangles share common segments.

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[-8,6]. B=[
just olya [345]

Answer:

49°

Step-by-step explanation:

Given vectors:

a = [-8, 6]

B = [√7, 3]

θ = ?

To find the angle between the two vectors, we will be using the formula,

                                   a.B = |a||B|cosθ

For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.

Calculating the dot product

         a.B = (-8, 6) . (√7, 3)

               = (-8 × √7) + (6 × 3)

               = -8√7 + 18

               = 18 - 8√7

               = 10√7

Calculating the magnitude the vectors

1. The magnitude of vector (-8, 6)    

                |a| = \sqrt{(-8)^{2} + 6^{2}}

                |a| = \sqrt{64 + 36}

                |a| = \sqrt{100}

                |a| = 10

2. The magnitude of vector (√7, 3)

                |B| = \sqrt{(\sqrt{7})^{2} + 3^{2}}

                |B| = \sqrt{7 + 9}

                |B| = \sqrt{16}

                |B| = 4

Calculating the angle between the vectors,

                cosθ = \frac{a.B}{|a||B|}

                cosθ = \frac{10\sqrt{7}}{10 * 4}

                cosθ = 0.6614

                θ = cos⁻¹0.6614

                θ = 48.59°

                θ = 49°

5 0
4 years ago
A. 86<br> B. 111<br> C. 69<br> D. 71
dangina [55]
All the angles of a triangle add up to 180 degrees. 

30+39+<4= 180

69+<4= 180

Subtract 69 on both sides. 

<4= 111 degrees

<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.

111+<1= 180

<1= 69 degrees

I hope this helps!
<em>~kaikers</em>
8 0
4 years ago
Read 2 more answers
    Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8
Free_Kalibri [48]
You owe your friend 2 dollars
5 0
3 years ago
Maths: A motorist covers 3km in 4minutes.what is his average speed in ms-1?​
Vika [28.1K]

Answer:

0.75m/s

Step-by-step explanation:

speed = d/t

5 0
3 years ago
Please help me happy new years
vodka [1.7K]

1) The quotient is 6.

2) The quotient is 9/10.

Hope it helps!

4 0
3 years ago
Read 2 more answers
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