Two vertical poles of height, 20   m and 80   m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane is:

Question

Two vertical poles of height, 20 &#160; m and 80 &#160; m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane is:

Aicharya · Accepted Answer

Equation of line O Q y = 80 a x Equation of line A B x a + y 20 = 1 Solving for P x 0 , y 0 , a y 0 / 80 a + y 0 20 = 1 &#8658; y 0 1 80 + 1 20 = 1 &#8658; y 0 = 16

Two vertical poles of height, 20   m and 80   m stand apart on a horizontal plane. The height (in…

Solution

Two vertical poles of height, 20 &#160; m and 80 &#160; m stand apart on a horizontal plane. The height (in…

Solution

Two vertical poles of height, 20 m and 80 m stand apart on a horizontal plane. The height (in…