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?

The length of the shadow of a 10m high tree is ……..m when the angle of elevation of the Sun is 30^(@) .

From a point P on the ground the angle of elevation of the top of a 10m tail building is 30^(@) . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^(@) . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3= 1.732 )

(a) A giant refracting telescope at an observatory has an objective lens of focal length 15m. If an eyepiece of focal length 1.0cm is used, what is the angular magnification of the telescope? (b) If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is 3.48 xx 10^(6)m , and the radius of lunar orbit is 3.8xx10^(8)m .

The angle of elevation of a jet plane from a point A on the ground is 60^(@) . After a flight of 15 seconds, the angle of elevation changes to 30^(@) . If the jet plane is flying at a constant height of 1500sqrt13 meter, find the speed of the jet plane. (sqrt3 = 1.732)

An electrician wants to repair an electric connection on a pole of height 9 m. He needs to reach 1.8 m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60^(@) with the ground? What will be the distance between foot of the ladder and foot of the pole?

An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work (see the given figure). What should be the length of the ladder that she should use which, when inclined at an angle of 60^(@) to teh horizontal, would enable her to reach the required position? Also, how far from the foot of the pole shoudl she place the foot of the ladder? (you may take sqrt3= 1.73 )

A shell is fired from a point O at an angle of 60^(@) with a speed of 40 m//s & strikes a horizontal plane throught O, at a point A. The gun is fired a second time with the same angle of elevation but a different speed v. If it hits the target which starts to rise vertically from A with a constant speed 9sqrt(3) m//s at the same instant as the shell is fired, find v.

A Rajput soldier sits on a horse next to a river. Across the river there is a hill and atop the hill is a fortress. He sees a Mughal. Sitting on the fortress's top wall. There is a full moon, so he angrily shoots an arrow at an angle 53^(@) relative to the horizontal. The arrow hits Mughal after a 2 second flight. The horizontal distance from Rajput to Mughal is 30 meters. The arrow is 3 meters above the river when Rajput shoots it. (a) What is the original velocity , vec(V) , of the arrow when Rajput shoots it ? (b) What is Mughal elevation above the river ? (c) What is the flight direction of the arrow the instant before it strikes Mughal, i.e., what is the angle, theta , between its direction and the horizontal when it skins into Mughal's tender flesh ?

Velocity of efflux in torricelli's theorem is given by v=sqrt(2gh) here h is the height of hole from the top surface, after that motion of liquid can be treated as projectile motion. Q. What is its time of fall of liquid on the ground? (a). (1)/(sqrt(2))s (b). (1)/(sqrt(3))s (c). (1)/(sqrt(5))s (d). sqrt(2)s