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raketka [301]
3 years ago
15

A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the

flagpole to the nearest metre
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

  23 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...

  Tan = Opposite/Adjacent

  tan(48°) = h/(21 m)

  h = (21 m)tan(48°) ≈ 23.32 m

The height of the flagpole is about 23 meters.

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The figure is a parallelogram.one diagonal measures 28 units. Is the figure a rectangle? Explain
guajiro [1.7K]

Answer:

The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Step-by-step explanation:

Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.

we have to tell it is a rectangle or not.

The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it  must satisfy Pythagoras theorem

28^{2}=20^{2}+21^{2}

784=400+441=881

Not verified

∴ The sides of the parallelogram do not meet at right angles.

Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Hope it helps

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5 0
3 years ago
Find the two partial products in this problem. <br> 1,407x14
Neporo4naja [7]

Answer:

<em>     1,407</em>

<em>x       14</em>

<em>_______</em>

<em>      5,628</em>

<em>+   1,4070</em>

<em>______</em>

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<em>The two partial products are 5,628 and 14,070</em>

7 0
3 years ago
The length of the hypotenuse of a right triangle is 34 inches and the length is 34 inches and the length of one of its legs is 1
nata0808 [166]

Answer:

The length of the other leg of this right angled triangle is 30 inches.

Step-by-step explanation:

We are given the following in the question:

A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.

Pythagoras theorem:

  • The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.

Let x inches be the length of the other leg of this right triangle.

Thus, we can write the equation:

x^2 + (16)^2 = (34)^2\\x^2 + 256 = 1156\\x^2 = 900\\x = 30

Thus, the length of the other leg of this right angled triangle is 30 inches.

3 0
3 years ago
chef leo will use a total of 6 1/4 cups of sugar to make 3 chocolate cakes. if each cake recipe requires the same amount of suga
Feliz [49]

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7 0
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Svetradugi [14.3K]
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Use this for percentages.
https://percentagecalculator.net/

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