Natalia is writing a recursiye formula to represent the
2 answers:
Answer:
1.5
Step-by-step explanation:
As the common difference is not same for all terms, the given sequence is a geometric sequence
the standard formula for a geometric sequence is:
The formula to calculate common ratio is:
Dividing the term by previous term
So,
r = 12/8 = 18/12 = 27/18 = 1.5
The value for common ratio will be:
1.5 ..
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Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.
