Answer:
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Step-by-step explanation:
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
<h3>What are the correct elevation measurements?</h3>
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
Read more about elevations at; brainly.com/question/10254887
Answer:
$0.085 per mile or 8.5 cent per mile
Step-by-step explanation:
We know:
Total expenses = $1837
Gasoline expense = Total expenses - other expenses
= 1837 - 972 - 114 - 105 = $646
Benito drove in total of: 7600 miles
Cost of gasoline per mile = Money spent for gasoline / total miles
= $646 / 7600
= $0.085 per mile or 8.5 cent per mile
Hope this helped :3
To round to the nearest thousand, we check the digit in the hundreds place. If it is less than 5, we round down, else we round up to the next thousand.
In this case, the digit in the hundreds place is "6" and "6" is 5 or more, so we round up to the next thousand.
15 680 ≈ 16 000