Two poles of height a metres and `b` metres are `p` metres apart. Prove that the height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is given by `(a b)/(a+b)` metres.

Two vertical poles of heights, 20 m and 80 m stand apart on a horizontal plane. The height (in m) 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 A. 12 B. 18 C. 16 D. 15

Two vertical poles of height 10 m and 40 m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the line joining the top of each pole to the foot of the other, from this horizontal plane is

Two poles of a horse shoe magnet each of pole strength 2 Am are 8 cm apart. Find the magnetic field intensity at the midpoint of the line joining the poles.

From the top of a light house, the angles of depression of two ships on the opposite sides of its are observed to be alphaa n dbeta . If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is h(tanalpha+tanbeta)/(tanalphat a nbeta)

Two poles of heights 6 m and 11m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

Find the angle of elevation of the sun when the shadow of a pole 'h' metres high is sqrt3h metres long.

Two persons are 'a' metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is (a) a/4 (b) a/(sqrt(2)) (c) asqrt(2) (d) a/(2sqrt(2))

Two poles are a metres apart and the height of one is double of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the smaller is (a) sqrt(2)am e t r e s (b) a/(2sqrt(2))m e t r e s (c) a/(sqrt(2))m e t r e s (d) 2am e t r e s

A pole of height h stands at one corner of a park of the shape of an equilateral triangle. If alpha is the angle which the pole subtends at the mid point of the opposite side, the length of each side of the park is

Two poles of height 13 feet and 25 feet are standing at two ends of a 35 feet wide street. Find the distance between their tops.