An arc of a bridge is semi-elliptical with the major axis horizontal. If the length of the base is 9m and the highest part of the bridge is 3m from the horizontal, then prove that the best approximation of the height of the acr 2 m from the center of the base is `8/3mdot`

The arch of a bridge is the shape of a semi ellipse having a horizontal span of 40 m and 16 m highest the centre. How high is the arch, 10m from the right/ left of the centre.

A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60^@ with the horizontal. Find the height of the tree.

The image of man height 1.8m , is of length 1.5 cm on the film of a camera . If the film is 3 cm from the camera, how far is the man from the camera ?

An arch is in the from of a semi - ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

Two point masses 3 kg and 5 kg are at 4 m and 8 m from the origin on X-axis. Locate the position of center of mass of the two point masses (from the origin and (1) from 3 kg mass.

Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

A man whose eye-level is 2 m above the ground wishes to find the height of a tree. He places a mirror horizontally on the ground 20 m from the tree and finds that if he stands at a point C which is 4m from the mirror B, he can see the reflection of the top of the tree. How height is the tree ?