- A40/3 m
- B20 m
- C10√3 m
- D30 m
Step-by-Step Solution
Distance = 10 cot 60° = 10/√3 m. The tower rises (10/√3) tan 30° = 10/3 m above the building's top, so its height is 10 + 10/3 = 40/3 m.
Answer: A) 40/3 m
A 10 m high building faces a tower. From the building's top, the angle of elevation of the tower's top is 30° and the angle of depression of the tower's foot is 60°. Find the height of the tower.
Competition practiceTrigonometry
Master this topic in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Trigonometry practice questions
More Trigonometry practice
A 6 m flagstaff stands on top of a tower. From a point on level ground, the angles of…Isha, 1.5 m tall, walks straight away from the foot of a 4.5 m lamp-post at 1.2 m/s. How…A 60 m tall building is seen from point A on the ground at an elevation of 30°. How far…From the top of a 96 m tower, the angles of depression of two cars on opposite sides of…A storm snaps a tree. The broken part bends over so that its top touches the ground 10 m…