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DedPeter [7]
3 years ago
8

Read the problem carefully. Show your mathematical thinking and record your final solution. A Forest ranger in a 90-foot observa

tion tower sees a fire. The angle of depression to the fire is 7 degree. A. What is the horizontal distance between the tower and the fire? Round to the nearest foot.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
For a problem of this nature, we need to assume that the base of the observation tower is at the same elevation as the fire. The tangent of the angle is the ratio of tower height to horizontal distance:
  tan(α) = (tower height)/(horizontal distance)
Rearranging this equation, we have
  (horizontal distance) = (tower height)/tan(α)
Putting in the given values gives
  (horizontal distance) = (90 ft)/tan(7°) ≈ 733 ft
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Debora [2.8K]
Consider the two functions as
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The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
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It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


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6 0
3 years ago
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Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 2 starting at 10. Rule 2: Su
Aleksandr [31]

Answer:

Step-by-step explanation:

Created Sequences

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s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

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S2: Start at 24 and subtract 4

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16 - 4 =  12

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2 years ago
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Answer:

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Step-by-step explanation:

The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.

I hope this helped!!! :)

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2 years ago
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4 cups = 18 g
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3 years ago
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