Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
Answer:
<h2>15.3 gallons</h2><h2 />
Step-by-step explanation:
ratio and proportion
<u>420 miles </u> = <u> 357 miles</u>
18 gallons x gallons
420 (x) = 357 (18)
x = 6426 / 420
x = 15.3 gallons
The distance between the two adjacent gas stations will be 5 miles.
<h3>What is the difference between a ratio and a proportion?</h3>
A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Distance between city airport and the train station = 45 miles
Stations equally spaced between the airport and train station=9
Let the space between two gas stations will be x;
x = 45/9
x=5 mile.
Hence, the distance between the two adjacent gas stations will be 5 miles.
To learn more about the ratio, refer to the link;
brainly.com/question/14335762
#SPJ1
Answer:
Step-by-step explanation:
f(x) = (x - 1)/(x - 3) < 0
The critical points are x = 1 and x = 3
When x < 1, f(x) > 0
When 1 < x < 3, f(x) < 0
When x > 3, f(x) > 0
Note when x = 3 f(x) has no value and when x = 1 f(x) = 0.
I can't see all the graphs very well but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.
Looks like its the last choice.