Wheelchair ramps require specific ratios of height to length to make them useable by people who use wheelchairs. In this project, you'll investigate the angles and distances of these ramps. The Americans with Disabilities Act (ADA) requires a slope of no more than 1:12 for wheelchairs and scooters for business and public use. Consider the following problem: A new store will need a ramp whose angle of elevation (the angle formed where the ramp touches the ground) is 3.5° and whose length is 36 inches. In triangle ABC, angle A is the angle of elevation and segment AC represents the ramp. Right triangle ABC marked with the given information and a right angle at angle B. © 2016 FlipSwitch. Created using GeoGebra. Does the ramp of the new store comply with the ADA? Why or why not? You will solve the problem step by step. Your progress has been saved Question 1 of 5 Refer to the problem. Which trigonometric ratio could you use to solve for BC, the height of the threshold to the store? cosB cosA sinB sinA

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

step-by-step explanation:

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is