Find the height of the triangle. hypotenuse=10, right angle, opposite angle=20º

here if 20 degree angle is in base line then we would take sin of 20

because sin theta = height / hupotaneous

sin 20 = height/ 10

height = 10 times sin 20 = 10 times *0.34 = 3.4

But if angle 20 in on the line making height of the triangle then the base line of angle 20 degree would be the height of triangle )

we would take : cos 20 =base / hypotaneous

cos 20 = base / hypotaneous

cos 20 = base / 10

base = 10 cos 20 = 10 * 0.93 = 9.3

As per the given question if 20 degree angle lie on horizontal line answer should be 3.4

OR if angle 20 degree lie on vertical line then answer is 9.3

29 mil

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be