# Aptitude – Height and Distance

(6) A ladder is placed against a wall such that it reaches a window $$x$$ meters from the ground. If the bottom of the ladder is 3 meters away from the wall, and it forms an angle of 60° with the ground, what is the value of $$x$$?

• (a) 3 meters
• (b) 3√3 meters
• (c) 6 meters
• (d) 9 meters

(7) Two buildings are 50 meters apart. An observer on the ground between the buildings measures the angles of elevation to the tops of the buildings as 30 degrees and 45 degrees, respectively. What is the difference in height between the two buildings?

• (a) 15 meters
• (b) 35 meters
• (c) 25 meters
• (d) 50 meters

(8) A person standing on the top of a hill observes a car on the road below at an angle of depression of 20 degrees. If the person is 50 meters above the road level, how far is the car from the base of the hill?

• (a) 144 meters
• (b) 100 meters
• (c) 120 meters
• (d) 140 meters

(9) An airplane flying at an altitude of 10,000 meters spots a landmark on the ground at an angle of depression of 5 degrees. How far is the airplane from the landmark?

• (a) 115,470 meters
• (b) 10,000 meters
• (c) 11,547 meters
• (d) 1,154,700 meters

(10) A flagpole casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. What is the height of the flagpole?

• (a) 5 meters
• (b) 10 meters
• (c) 12.5 meters
• (d) 30 meters

Author: user