the answer is 49 degrees

An archer wishes to shoot an arrow at a target eye level a distance of 51.0m away.if the initial speed imparted to the 70.3m / s what angle should the arrow make with the hortzontal as it is being shot?

A projectile is fired in such a way that its horizontal range is equal to 12 times its maximum height. What is the angle of projection?

A diver leaves a 3-mm board on a trajectory that takes her 2.8 mm above the board and then into the water 2.6 mm horizontally from the end of the board At what speed did she leave the board? At what angle did she leave the board?

a pirate ship moored 560m from a fort defending the harbor entrance of an island . the harbor defense cannon , located at sea level , has muzzle velocity of 82m/s. to what angle must the cannon be elevated to hit the pirate ship?

A boat can travel 2.20 m/s in still water. (a) If the boat points directly across a stream whose current is 1.20 m/s what is the velocity (magnitude and direction) of the boat relative to the shore? (b) What will be the position of the boat, relative to its point of origin, after 3.00 s?

A plane is heading on a bearing of 200° with an air speed of 400 km/h when it is blown off course by a wind of 100 km/h from the northeast. Determine, the resultant ground velocity of the plane.

A small object is projected from level ground with an initialvelocity of magnitude 16.0 m/s and directed at an angle of 60.0 abovethe horizontal. (a) What is the horizontal displacement of the objectwhen it is at its maximum height? How does your result compare to thehorizontal range R of the object? (b) What is the vertical displacementof the object when its horizontal displacement is 80.0% of its horizontalrange R? How does your result compare to the maximum height hmaxreached by the object? (c) For when the object has horizontal displacementx - x0 = aR, where a is a positive constant, derive an expression(in terms of a) for (y - y0)/hmax. Your result should not depend on theinitial velocity or the angle of projection. Show that your expressiongives the correct result when a = 0.80, as is the case in part (b). Alsoshow that your expression gives the correct result for a = 0, a = 0.50,and a = 1.0.

Prove that, the range, R the time of flight, T and the Maximum height, H by a projectile are respectively given by; R = (v20/g)sin2ϴ , T =(2v0sinϴ)/g and H = (v20sin2ϴ)/2g