Q1 · hard · AI-verified
From the top of a cliff 200 m high, the angles of depression of two boats on the same side of the cliff are 45° and 30°. What is the distance between the two boats? (Use √3 = 1.732)
- 113.2 m
- 166.4 m
- 200 m
- 146.4 m
Q2 · medium · AI-verified
The shadow of a vertical pole of height h is √3h. What is the angle of elevation of the sun?
- 30°
- 15°
- 60°
- 45°
Q3 · medium · AI-verified
From the top of a tower 100 m high, the angle of depression of the top and bottom of a pole are 30° and 45° respectively. What is the height of the pole? (Use √3 = 1.732)
- 50 m
- 42.27 m
- 57.73 m
- 36.60 m
Q4 · medium · AI-verified
The shadow of a tower, when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it is 60°. What is the height of the tower? (Use √3 = 1.732)
- 36.60 m
- 23.66 m
- 46.32 m
- 13.66 m
Q5 · medium · AI-verified
A vertical pole and a vertical tower are on the same level ground. From the top of the pole, the angle of elevation of the top of the tower is 60° and the angle of depression of the foot of the tower is 30°. If the height of the pole is 10 m, what is the height of the tower?
- 20 m
- 40 m
- 50 m
- 30 m