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Fofino [41]
3 years ago
9

From a point on the ground 47ft from the base of a tree, the angle

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

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Plz help..................
Damm [24]
The correct answer is 34.0 ft.
6 0
3 years ago
Use the graph of y=e^x to evaluate the expression e^1.5. round to the nearest tenth if necessary.
Orlov [11]
The graph is in the attachement

3 0
3 years ago
The function
Nat2105 [25]

Answer:

a) increase by 4%

b) $ 98.54

Step-by-step explanation:

The given function is

c(x) = 72 \times (1.04) ^{x}

We can rewrite this function as

c(x) = 72 \times (1 + 4\%) ^{x}

Therefore the cost of the chemical increase over time by 4%

b) We want to find how much an ounce of the chemical cost in 2018.

Since 2010 to 2018, 8 years have passed.

We substitute x=8 to get:

f(8) =72 {(1.04)}^{8}

f(8) =98.54

3 0
3 years ago
Name the relationship <br> A.complementary <br> B.linear pair<br> C.vertical<br> D.adjacent
Tom [10]

Answer:

∠a and ∠b are the adjacent angles.

Therefore, option D i.e. adjacent is the correct option.

Step-by-step explanation:

Given the angles

  • ∠a
  • ∠b

We know that the two angles are termed as the adjacent angles when they share the:

  • common vertex
  • common side

From the given diagram, we are given the angles ∠a and ∠b.

It is clear that angles ∠a and ∠b have a common vertex and common side.

Therefore, the relationship between the angles ∠a and ∠b is 'adjacent'.

In other words, ∠a and ∠b are the adjacent angles.

<em />

<u><em>Please note that the given relation can not be a 'linear pair' because the sum of two angles is NOT a straight line or 180°.</em></u>

<u><em /></u>

Therefore, option D i.e. adjacent is the correct option.

4 0
3 years ago
Write and solve the inequality. 6 times a number plus 22 is greater than 7. Which inequality represents the​ solutions?
LUCKY_DIMON [66]

answer:

  • 6x + 22 > 7
  • x > -2.5

step-by-step explanation:

  • write out the inequality
  • let "a number" be x

6x + 22 > 7

  • now solve it

6x + 22 > 7

6x > -15

x > -2.5

6 0
3 years ago
Read 2 more answers
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