The length of the shadow of a vertical pole of height `h ,` thrown by the suns rays at three different moments are `h ,2ha n d3h` . Find the sum of the angles of elevation of the rays at these three moments.

If the ratio of the height of a tower and the length of its shadow is sqrt(3):1 , then the angle of elevation of the sum had measure.

Length of the shadow of a 15 meter high pole is 5sqrt3 meters at 8 O'clock in the moming. Then, what is the angle of elevation ofthe Sun rays with the ground at the time?

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.

You want to erect a pole of height 10 m with the support of three ropes. Each rope has to make an angle 30^(@) with the pole. What should be the length of the rope?

AB is a vertical pole with B at the ground level and A at the top . A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^@ . He moves away from the pole along the line BC to a point D such that CD = 7 m . from D the angle of elevation of the point A is 45 then the height of the pole is

If three points are A(-2,1)B(2,3),a n dC(-2,-4) , then find the angle between A Ba n dB Cdot

From the bottom of a pole of height h, the angle of elevation of the top of a tower is alpha . The pole subtends an angle beta at the top of the tower. find the height of the tower.

If normals drawn at three different point on the parabola y^(2)=4ax pass through the point (h,k), then show that h hgt2a .

A horse runs along a circle with a speed of 20k m//h . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

From a point on a hillside of constant inclination , the angle of elevation of the top a flagstaff on its summit is observed to be alpha and a meters nears the top of the hill, it is beta .If h is the height of the flagstaff ,find the inclination of the hill to the horizon .