A girl of height 120cm is walking away from the base of a lamp post at a speed of 0.6 m/sec. . If the lamp is 3.6 m above the ground level, then find the length of her shadow after 4 seconds.

A ramp for unloading a moving truck, has an angle of elevation of 30^(@) . If the top of the ramp is 0.9m above the ground level, then find the length of the ramp.

A girl of height 150cm stands in front of a lamp-post and casts a shadow of length 150sqrt(3)cm on the ground. Find the angle of elevation of the top of the lamp-post.

A man 2 m high walks at a uniform speed of 5km/hr away from a lamp post 6 m high. Find the rate at which the length of his shadow increases?

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

A cable of a suspension bridge is in the form of a parabola whose span is 40m. The road way is 5m below the lowest point of the cable. If an extra support is provided across the cable 30m above the ground level. Find the length of the support if the height of the pillars are 55 mts.

A lamp of negligible height is placed on the ground l_1 away from a wall. A man l_2m tall is walking at a speed of (l_1)/(10)m//s from the lamp to the nearest point on the wall. When he is midway between the lamp and the wall, the rate of change in the length of this shadow on the wall is -(5l_2)/2m//s (b) -(2l_2)/5m//s -(l_2)/2m//s (d) -(l_2)/5m//s

A lamp of negligible height is placed on the ground l_1 away from a wall. A man l_2m tall is walking at a speed of (l_1)/(10)m//s from the lamp to the nearest point on the wall. When he is midway between the lamp and the wall, the rate of change in the length of this shadow on the wall is -(5l_2)/2m//s (b) -(2l_2)/5m//s -(l_2)/2m//s (d) -(l_2)/5m//s

A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamppost. The girl whose height is 1.25 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamppost are in a same line, find the height of the lamp post ?