Answer:
26.2655 miles
Step-by-step explanation:
Whenever possible, draw a diagram. I've attached a picture of the balloon and the lines of depression (not drawn to scale, of course).
As you can see, the angles of depression form alternate interior angles with the ground (angles of elevation). So these angles are also 13° and 39°.
We can use the tangents of these angles to find the base lengths of the two triangles that are formed.
tan 13° = 4 / a
a = 4 / tan 13°
tan 39° = 4 / b
b = 4 / tan 39°
So the total distance is:
a + b
= 4 / tan 13° + 4 / tan 39°
≈ 22.2655
Answer:
Yes, she is correct.
Step-by-step explanation:
Given equation,
By estimation :
Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1
⇒ 
And, 
Since, 
is near to 2.
Hence, she is correct.
ANSWER
B. f(x) = 3x - 8
EXPLANATION
We have the graph of a straight line given and we need to find the function that it represents.
A linear function is generally given as:
f(x) = mx + c
where m = slope
c = y intercept
So, we need to identify the slope and y intercept.
The y intercept is the point where the graph touches the y axis. From the graph, the y intercept is:
c = -8
Now, to find the slope, we use the formula:
where (x1, y1) and (x2, y2) are two points that lie on the graph.
Let us use the given points:
(0, -8) and (1, -5)
Therefore:
Therefore, the equation of the line is:
f(x) = 3x - 8
