## Aptitude Height and Distance Test Paper 311) Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building? - 30.8 m
- 60 m
- 76.8 m
- 40.5 m
The Correctoption is(A)
Le t the height of the second building AD be h. EC = 100 - h DC = AB = 40 100 -h = 40 * √3 - h = -100 + 40 * 1.73 - h = -100 + 69.2 h = 30.8 m ( Option A) 12) The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ? - 60°
- 30°
- 45°
- any acute angle
The Correctoption is(C)
Let the height of tower PR be h. PQ = h as point Q is at a distance of h meter from the base of tower. tan θ=1 tanθ= 45° ( Option C) 13) The shadow of a pole of height 3 meter when the angle of elevation of the sun is 60°, is
The Correctoption is(B)
Let the length of the shadow be AB = X meter. Height of tower, AC = 3 meter X = √3 m (Option B) 14) A kite is flown with a thread of length 200 meter. The thread is fully stretched and makes an angle of 60° with the horizontal, find the height of the kite above the ground. - 173 m
- 100 m
- 346 m
- 141 m
The Correctoption is(A)
Let height of the kite above the ground be AC = h. Length of thread, BC = 200 m = 100 * √l3 = 100 * 1.73 = 173 m ( Option A) 15) A plane is flying over two villages which are 4 km apart. If at an instant the angles of depression of these villages from the plane are 45° and 60° respectively, find the height of the plane at that instant?
The Correctoption is(4)
Let the plane is at point D and villages at points B and C respectively. Let the height of the plane be AD = h. h = X + 4 ..................(2) Put value of X in equation (2) from equation (1)
Height and Distance Aptitude Test Paper 1
Height and Distance Aptitude Test Paper 2 Height and Distance Aptitude Test Paper 4 |