- A120 m
- B90 m
- C160 m
- D210 m
Step-by-Step Solution
Distances: h ÷ 3/4 = 4h/3 and h ÷ 4/3 = 3h/4. Their difference 4h/3 − 3h/4 = 7h/12 = 70, so h = 120 m.
Answer: A) 120 m
From a point A, the angle of elevation of the top of a tower is α with tan α = 3/4. Walking 70 m towards the tower to B, the angle becomes β with tan β = 4/3. 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
From the top of a tower h m high, the angles of depression of two objects in line with…A 15 m ladder just reaches the top of a vertical wall. The ladder makes an angle of 60°…From a point P, 60 m from the foot of a tower, its top is seen at an elevation of 45°.…Two vertical poles 20 m and 80 m tall stand on level ground. The lines joining the top…A man at the top of a tower watches a car coming straight towards the tower at a steady…