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faust18 [17]
3 years ago
6

11.1.3 Quiz: Introduction to Trigonometry

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

Vertical change in the elevation is 1.06 miles.

Step-by-step explanation:

Distance between the surveyor C and the point A on a mountain = 5 miles

Angle of elevation of the point A from surveyor = 12°

We have to calculate the vertical height AB of the point A from the surveyor.

tan C = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan 12° = \frac{AB}{BC}

tan 12° = \frac{h}{5}

h = 5tan12°

h = 1.063 miles

h ≈ 1.06 miles

Therefore, vertical change in the elevation is 1.06 miles.

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