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Ltksls4177
06.05.2020 •
Mathematics
11.1.3 Quiz: Introduction to Trigonometry
Question 5 of 10
2 Points
Fill in the blank.
A surveyor measures the angle of elevation to a point on a mountain to be 12
• The point on the mountain is horizontally 5 miles away from the surveyor.
The vertical change in elevation from the point where the surveyor is standing
to the point on the mountain is_ miles. (Round your answer to the
nearest hundredth of a mile.)
Answer here
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Ответ:
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}}](/tpl/images/0650/4989/10612.png)
tan 12° =![\frac{AB}{BC}](/tpl/images/0650/4989/ac823.png)
tan 12° =![\frac{h}{5}](/tpl/images/0650/4989/b6b75.png)
h = 5tan12°
h = 1.063 miles
h ≈ 1.06 miles
Therefore, vertical change in the elevation is 1.06 miles.
Ответ:
1
Step-by-step explanation:
Add (4.2x+0.8x)
5x=5
Divide by 5x to each side
x=1