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

5

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3