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ArbitrLikvidat [17]
3 years ago
9

The slope distance between two points was measured with an EDM and found to be 1223.88 ft. If the zenith angle (the angle from t

he vertical to the line) is 95°25'14", compute the horizontal distance. (Ans.: 1218.41 ft) 385.11 ft) 2138.77 ft) 10
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

Horizontal distance = 1218.41 ft

Step-by-step explanation:

Given data:

Slope distance = 1223.88 ft

Zenith angle is  = 95°25'14"

converting zenith angle into degree

Zenith angle is = 95 +\frac{25}{60} + \frac{14}{3600} = 94.421°

Horizontal distance= S\times sin(Z)

putting all value to get horizontal distance value

Horizontal distance = 1223.88\times sin(95.421)

Horizontal distance = 1218.41 ft

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A) Miguel: d=25t+10

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B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles

Step-by-step explanation:

<u><em>Lets start of with the equation:</em></u>

There is 2 possible equations we can use for this:

  1. A) Miguel: d=25t+10  gabby: d=30t     OR
  1. D) Miguel: d=10t+25  gabby: d= 30t

The resonable response for this would be A because Miguel starts off with 10 miles so you would add 10 to your equation so response D is incorrect because you are not multiplying 10t, but rather 25t.

<u><em>Now let's do the actual answer</em></u>

There is 2 possible answer for this:

  1. B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles
  2. C) gabby will catch up with Miguel in 1.25 at a distance of 37.5 miles

The response that would make the most sense would be B. Let me explain

We are going to be using response C for now. You would have to multiply Miguel: 25(1.25) + 10

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Gabby: 30(1.25)

= 37.50

Miguel is still ahead of Gabby so Answer C is incorrect

We are going to be using response B now. You would have to multiply

Miguel: 25(2) + 10

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=60

Gabby: 30(2)

=60

Now they are both the same mile so this would mean Answer B is correct

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