Reference : Height & Distance
Q1. From the top of a 60m high building, the angle of depression of a car is 30°. If the car moves 20m further away from the building, the angle of depression becomes 25°. Find the original distance of the car from the building.
112.45m
98.37m
108.12m
103.92m
Q2. A person observes that when he stands at point A, the angle of elevation to the top of a tower is 60°. When he moves 40m towards the tower to point B, the angle of elevation becomes 75°. Find the height of the tower.
78.16m
72.45m
75.32m
69.28m
Q3. Two observers at ground level spots a hot air balloon at angles of elevation of 45° and 30° respectively. If the observers are 200m apart on opposite sides of the balloon, find its height.
128.9m
116.4m
122.5m
109.8m
Q4. From the top of a lighthouse 100m high, the angle of depression of a ship is observed to be 45°. Twenty minutes later, the angle of depression becomes 30°. If the ship is moving away from the lighthouse at constant speed, find its speed in km/h.
24 km/h
18 km/h
21 km/h
15 km/h
Q5. A man on a cliff observes a boat at an angle of depression of 30°. After 15 minutes, the angle of depression becomes 60°. If the boat is moving directly towards the cliff at constant speed and the height of the cliff is 150m, find the speed of the boat.
28 km/h
20 km/h
24 km/h
16 km/h
Q6. Two buildings of heights 40m and 25m are 60m apart. Find the angle of elevation of the top of the taller building from the top of the shorter building.
17.0°
14.0°
15.5°
12.5°
Q7. A ladder 13m long is placed against a vertical wall. If the foot of the ladder is moved 2m towards the wall, the top slides up 1.5m. Find the original height reached by the ladder.
13.0m
12.0m
12.5m
11.5m
Q8. From a point on the ground, the angles of elevation of the top and bottom of a flagpole on a building are 60° and 45° respectively. If the height of the building is 30m, find the height of the flagpole.
15.9m
13.4m
14.7m
12.1m
Q9. Two poles of heights 6m and 11m stand vertically on level ground. If the distance between their feet is 12m, find the distance between their tops.
14.5m
13.5m
14m
13m
Q10. A tower casts a shadow 40m long when the sun's altitude is 30°. Two hours later, the shadow becomes 25m long. Find the height of the tower and the sun's altitude at the second observation.
26.7m, 48.5°
24.3m, 44.2°
25.5m, 46.8°
23.1m, 42.5°
Other References :
AP & GP : Link
Area : Link
Average : Link
Boat & Stream : Link
Compound Interest : Link
LCM & HCF : Link
Logarithm : Link
Percentage : Link
Profit & Loss : Link
Ratio & Proportion : Link
Simple Interest : Link
Speed Distance : Link
Time & Work : Link
Trains Problem : Link
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