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The first, fourth and tenth terms of the arithmetic sequence is and
Explanation:
The given rule for the arithmetic sequence is
We need to determine the first, fourth and tenth terms of the sequence.
To find the first, fourth and tenth terms, let us substitute in the general rule for the arithmetic sequence.
To find the first term, substitute in
, we get,
Thus, the first term of the arithmetic sequence is -6.
To find the fourth term, substitute in
, we get,
Thus, the fourth term of the arithmetic sequence is
To find the tenth term, substitute in
, we get,
Thus, the tenth term of the arithmetic sequence is
Hence, the first, fourth and tenth terms of the arithmetic sequence is and
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
