A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?. . A) 58.15 feet. . B) 143.40 feet. . C) 148.83 feet. . D) 350.62 feet

Answers

Answer 1

Answer: The pole, the guy wire, and the distance along the ground
all form a right triangle. Please sketch a picture of the set-up
on your scratch paper.

In a right triangle,

   (the side adjacent to one of the acute angles)
divided by
   ( the hypotenuse)

is the cosine of the angle.

In this problem ...

-- the acute angle in the triangle is 67°

-- the distance along the ground is the side adjacent to the angle ... 137-ft.

-- the wire is the hypotenuse of the triangle.

-- so,       cosine(67°) = (137-ft) / (length of the wire)

Multiply each side by
(length of the wire) : cosine(67°) x (length of the wire) = (137-ft)

Divide each side
by cosine(67°)                   length of the wire = (137-ft) / cosine(67°)

Look up cosine(67°)
on your calculator: length of the wire = (137-ft) / (0.390731)

   = 350.624 .

rounded to two decimal places: 350.62 ft

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Answers

Answer:

the perimeter is 40 ft

Step-by-step explanation:

to find the perimeter you add up all the sides

5 • [(14 + 3 • 30) + 120] + 1000 – 10

Answers

5*(104+120) +1000-10
5*224+1000-10
1120+1000-10
2120-10
2110

5*[(14+3*30)+120]+1000-10
5*[(104)+120]+1000-10
5*[(224]+1000-10
5*224+1000-10
1120+1000-10
2120-10
2110

What multiplication expression represents 7+7+7+7?

Answers

7*4 since there are 4 7's

And the answer would be 28

hope this helped!

7times 4 = 28 ggggggggggggggg

1 gallon = 4 quarts1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces

How many ounces are in 4 gallons?
A) 32 ounces
B) 64 ounces
C) 256 ounces
D) 512 ounces

Answers

From Conversion of units, there are Option(D) 512 ounces in 4 gallons.

What ounces are there in 4 gallons ?

Given information -

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

Thus we have from conversion of units,

2 cups = 16 ounces.

2 pints = 2*16 = 32 ounces

4 quarts = 32*4 = 128 ounces

Given that 4 quarts = 1 gallon

Thus 4 gallons = 16 quarts = 4 * 128 = 512 ounces.

Therefore, from Conversion of units, there are Option(D) 512 ounces in 4 gallons.

To learn more about Conversion of units, refer -

brainly.com/question/141163

#SPJ2

4 gallons= 512 ounces

Answer:D

When two fractions refer to the same whole and have the same denominators explain why you can compare only the numerators

Answers

the denominators are the same, so it is easier to just compare the numerators, as you already know that the denominators are the same. hope that this helped

If two of a triangle,s angles measure 42 degrees and 48 degrees, how would you classify that triangle? A: acute angle
B: obtuse angle
C: right angle

Answers

If any of the angles are over 90 degrees, the triangle is classified as obtuse, if it's exactly 90 it's classified as a right triangle, and if all the angles are below 90 it is considered an acute triangle.

In this case you have 2 angles, 42 and 48, which seems to make the triangle acute. However, if you add them together and subtract from 180 (to find the third angle), you can find that the third angle is indeed 90 degrees, making it a right triangle.

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