Answer:
Option (A)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Slope of the line passing through two points (0, 5) and (4, -7),
m =
=
= -3
As slope of the line is negative, Options (A) and (B) will be the possible options.
Therefore, equation of the line passing through (4, -7) will be,
y - (-7) = -3(x - 4)
y + 7 = -3(x - 4)
Therefore, Option (A) will be the correct option.
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!