A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = , thus

y = x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - + c ⇒ c = 4 + =

y = x + ← equation of line