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DanielleElmas [232]
3 years ago
7

Some farms use a hay elevator to move bales of hay to the second story of a barn loft. The bottom of the elevator is 9 meters fr

om the barn and the elevator makes an angle of 34° with the ground. What is the height of the barn from the bottom of the barn opening to the ground?

Mathematics
2 answers:
Serjik [45]3 years ago
5 0

Answer:

6.071 metres

Step-by-step explanation:

Please kindly see the attached file for more explanation

-Dominant- [34]3 years ago
3 0

Answer: The height is 6.07 meters

Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;

Tan 34 = opposite/adjacent

Tan 34 = h/9

0.6745 = h/9

0.6745 x 9 = h

6.0705 = h

Therefore the approximate height of the barn to the ground is 6.07 meters

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Can someone help me with this!
Stolb23 [73]

Answer:

  2.  x = 18

  3.  x = 7

  4.  missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

  • the sum of angles of a triangle is 180°
  • angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

<u>Problem 1</u>

Work shown is correct.

__

<u>Problem 2</u>

Using the above observation, ...

  (5x -11)° + (2x +20°) = (11x -63)°

  7x +9 = 11x -63 . . . . . collect terms, divide by °

  72 = 4x . . . . . . . . . . . add 63-7x

  18 = x

__

<u>Problem 3</u>

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

  9x -3 = 60

  9x = 63 . . . . . . add 3

  x = 7 . . . . . . . . .divide by 9

__

<u>Problem 4</u>

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

  (apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

  (1/2)(apex angle) +(base angle) = 90° . . . divide by 2

  base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

  base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0
3 years ago
What x what gives me 49 but when you add it it gives me 14
Scilla [17]
7 because 7 x 7 is 49 but if you add 7 and 7 it gets to 14 7 is the answer
so if you do a different number you will be wrong

3 0
3 years ago
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