An observer at the top of a tower of height 20m sees a man due East of him at an angle of depression of 27°. He sees another man due south of him at an angle of depression 30°. Find the distance between the men on the ground. hint: question is from trigonometry. bearings.

The men are 35.1 meters apart.

Step-by-step explanation:

• For the first observer:

• For the second man:

• Therefore:

Step-by-step explanation:

Refer to picture.

Let the distance to men are x and y and the distance between them is d.

Find the distance from the tower to men:

The distance between men is:

Note, all numbers are rounded

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