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agasfer [191]
3 years ago
13

Which transformations could have occurred to map

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

the answer is a i just took the quiz hope it helpss

Step-by-step explanation:

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An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
blagie [28]

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0
3 years ago
Solve 7p - 4 + 12p = -3 (5 + p) Can you show the work please?
prisoha [69]
7p - 4 + 12p = -3(5 + p)
7p - 4 + 12p = -15 - 3p
        + 4              + 4
7p + 12p    = -11 - 3p
        + 3p                + 3p
22p             = -11

p = -1/2  Answer
7 0
3 years ago
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