Afire department's longest ladder is 110 feet, and the maximum height it can be used for is 100 feet. what is the angle that ladder makes with the ground at the maximum height?

Check the picture below.

The angle that the ladder makes with the ground at the maximum height is 65.37 degrees

Step-by-step explanation:

The triangle ABC is formed by the ladder and the wall is shown in the attached photo.

The angle that the ladder makes with the ground at the maximum height is represented as #. To determine #, we will apply trigonometric ratio

Sin # = 0pposite side / hypotenuse.

Hypotenuse = 110

Opposite side = 100

Sin# = 100/110 = 0.909

# = Sin^(-1)0.909

# = 65.37

step-by-step explanation:

12475909

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