A ramp is to be built using a 20 foot long board and an 18 foot long board. To make the ramp stable, the builders would like to add a third board to create a right triangle. How long should that board be, to the nearest hundredth of a foot? Justify.

clock

step-by-step explanation:

answer: a

step-by-step explanation:

10.2 units

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).