A skate board ramp is built on an incline so that it rests on a porch that is 1.3m high. The bottom of the ramp is placed 2.5m from the porch. What is the angle that the ramp forms with the ground?

θ = 27.47°

Step-by-step explanation:

This problem can be represented as a right-angled triangle, as shown in the diagram below.

To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:

tanθ =

In the diagram, opposite = 1.3 m and adjacent = 2.5 m

Hence:

tanθ =

tanθ = 0.52

θ =

θ = 27.47°

The ramp forms 27.47° with the ground.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

if x decreases by 4 then y increases by 10

step-by-step explanation: