Aladder, 500 cm long, leans against a building. if the angle between the ground and the ladder is 57 degrees, hiw far from the wall is the bottom of the ladder.

Answer  

Find out the how far from the wall is the bottom of the ladder.

To prove

As given

A ladder, 500 cm long, leans against a building.

If the angle between the ground and the ladder is 57 degrees .

Now by using the trignometric identity

As

Hypotenuse = 500 cm

put  in the above trignometric identity

Take

cos 57° = 0.54464 (approx)

Base = 0.54464 × 500

Base = 272 .32 cm

Therefore the wall is 272.32cm far from the bottom of the ladder .

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

step-by-step :