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AnnyKZ [126]
3 years ago
9

If a leaf on the ground is 80 feet from the base of a tree, and the angle of elevation to the top of the tree from the leaf is 4

6 degrees. Then how tall is the tree?

Mathematics
2 answers:
rusak2 [61]3 years ago
6 0

Answer:

82.8424 feet

Step-by-step explanation:

The leaf, the base of the tree and the top of the tree form a triangle.

The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):

tan(46) = h/80 = 1.0355

h = 80*1.0355 = 82.8424  feet

coldgirl [10]3 years ago
5 0

Answer:

57.55 feet

Step-by-step explanation:

An image was attached to provide the necessary explanations.

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Answer: sally initially has $240, Tom initially has $180.

Step-by-step explanation:

Let initial amount of money sally has = x

Then, initial amount tom has = 75% * x = 0.75x

Now to present,

Amount sally has = x -120

Amount tom has = [x - 120] + [50% * (x-120)]

= x - 120 + 0.5x - 180

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Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.

0.75x = 1.5x - 180

180 = 0.75x

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Therefore, initial money of sally of sally = $240

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Step-by-step explanation:

To solve this, you can match the coordinates of points on the triangles and choose the correct answer from there.

The highest point on the triangle, S, has coordinates of (3, 5).

The reflected triangle's point S has coordinates of (-3, -5).

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Matching these two points and their reflections to the answers, the only answer that fulfills both points correctly is (x, y) = (-x, -y).

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Step-by-step explanation:

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