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alukav5142 [94]
3 years ago
12

a plane takes off at an angle of 30 degrees and reaches a height of 10 miles. what is the diagonal distance it has traveled from

take off to its current position​

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

20 miles

Step-by-step explanation:

We apply trigonometry and using the attached illustration, we know that sine of an angle is the ratio of opposite to hypotenuse. In this case, the hypotenuse is the diagonal in question.

Sin 30°=10/hypotenuse

Hypotenuse=10/sin30°=10/0.5=20 miles

Therefore, the plane has gone a diagonal distance equivalent to 20 miles from its take off position

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kvasek [131]

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

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In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

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Now we can continue the sequence.

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15 ⇒ <em>2nd term</em>

18 ⇒ <em>3rd term</em>

21 ⇒ <em>4th term</em>

24 ⇒ <em>5th term</em>

27 ⇒ <em>6th term</em>

30 ⇒ <em>7th term</em>

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36 ⇒ <em>9th term</em>

39 ⇒ <em>10th term</em>

42 ⇒ <em>11th term</em>

45 ⇒ <em>12th term</em>

48 ⇒ <em>13th term</em>

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54 ⇒ <em>15th term</em>

57 ⇒ <em>16th term</em>

60 ⇒ <em>17th term</em>

63 ⇒ <em>18th term</em>

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<u>69 ⇒ </u><u><em>20th term</em></u>

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This means that the 20th term of this arithemtic sequence is 69.

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