Valeria drives 500 meters up a hill that makes an angle of 15 degrees with the horizontal. to the nearest tenth of a meter, what horizontal distance has she covered?

Approximately 485 meters

Step-by-step explanation:

We can first construct a right triangle, using the 500 m length of hill as our hypotenuse. Using the fact that the cosine of an angle is the ratio of the adjacent side to the hypotenuse, we see that

where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be

so our answer is approximately 485 m.

1)
table
x        f(x)
1        -7
2       -10
3       -13
4       -16

slope: rise / run = [-10-(-3)]/1 = -3
y-intercept: x=0=> y = -4 =b

equation: y = -3x - 4 this is the rule

2) table

x        f(x)
1         3
2         2
3         1
4         0

slope: rise / run = [2 -1] / [2 -  3] = -1
y-intercep: x = 0 => y = 4 = b

equation: y = -x + 4  this is the rule