Question : A person was standing on a road near a mall. He was 1215 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The tree's height is 20 m and it is 60 m away from him. How tall (in m) is the mall?

Option 1: 300

Option 2: 375

Option 3: 405

Option 4: 250

Question : A person was standing on a road near a mall. He was 1425 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which was in between him and the mall, was exactly in the line of sight with the top of the mall. The tree's height is 10 m and it is 30 m away from him. How tall (in m) is the mall?

Option 1: 475

Option 2: 300

Option 3: 425

Option 4: 525

Question : 50 trees are standing in a line such that the distance between any two consecutive trees is the same. A car takes 18 seconds to travel from the 13^th tree to the 34^th tree. How much time (in seconds) will it take to reach from the first tree to the 50th tree?

Option 1: 42

Option 2: 42.85

Option 3: 45

Option 4: 49

Question : The angles of elevation of a pole from two points which are 75 m and 48 m away from its base are $\alpha$ and $\beta$, respectively. If $\alpha$ and $\beta$ are complementary, then the height of the tower is:

Option 1: 54.5 m

Option 2: 61.5 m

Option 3: 60 m

Option 4: 50 m

Question : A ladder is resting against a wall. The angle between the foot of the ladder and the wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

Option 1: 5.4

Option 2: 3.6

Option 3: 14.4

Option 4: 7.2

Question : A man goes 24 m towards the east and then 10 m towards the north. How far is he away from his initial position?

Option 1: 23 m

Option 2: 25 m

Option 3: 26 m

Option 4: 24 m