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Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.
<h3>What is the distance between the tree and point B?</h3>
Given the data in the question;
- Height of tree opposite angle of elevation = 34ft
- Angle of elevation θ = 26°
- Distance between tree and point B| Adjacent = ?
Since the scenario form a right angle triangle, we use trig ratio.
tanθ = Opposite / Adjacent
tan( 26° ) = 34ft / x
We solve for x
x = 34ft / tan( 26° )
x = 34ft / 0.4877
x = 70ft
Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.
Learn more about trigonometric ratio here: brainly.com/question/28038732
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The value of the 5th term of the geometric sequence is of 160.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
We already have the 4th term and the common ratio, hence the 5th term is given by:
80 x 2 = 160.
The value of the 5th term of the geometric sequence is of 160.
More can be learned about geometric sequences at brainly.com/question/11847927
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