A fireman spots a stranded woman in the window or a 200-foot tall office building. From the point where the fireman is standing, the angle of elevation to the stranded woman is 42’ and to the top of the building is 58°. How far from the ground is the stranded woman?

The height of the stranded woman from the ground is approximately 113-ft

Step-by-step explanation:

Step 1: Determine the distance of the man from the building

Let the distance be d.

Since the angle of elevation to the top of the 200-ft building is 58°

tan 58° = 200/d

d = 200/ tan 58

d = 125-ft

Therefore, the man is standing 125-ft away from the building

Step 2: Determine the height of the woman from the ground

Let the height of the woman from the ground be h

tan 42° = h/125

h = tan 42 * 125

h = 112.55

Therefore, the height of the stranded woman from the ground is approximately 113-ft

i'm sure goog can you get that answer

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form