Question
A tree breaks due to a storm and the top touches the ground 30 meters away from its base, making a 30-degree angle with the ground. What was the height of the tree before it broke?
The height of the tree before it broke =AB+AC trigonometry (tan) = opposite/adjacent): tan 30° = AB/30 Since tan 30° = 1/√3 1 /√3 =AB/30 AB=30/√3 =10√3m AB = 10√3 Cos 30° =BC/AC √3 /2 =30 /AC AC =60 /√3 AC =20√3. Now the height of the tree=AB+AC =10√3 +20√3 =30√3 More Height and Distance Questions
- From a point A on the ground, the angle of elevation of the top of a tower is 30°. From another point B, which is 20 m closer to the tower along the same s...
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
- From the top of a lighthouse, the angle of depression to the top and bottom of a tower is 30° and 45°, respectively. If the lighthouse is 210 metres high, ...
- Find the angle of elevation of a 125 √ 3m tower's top from a point 125 m away from its base.
- A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 15 metres . From the top of the pole the angle of elevati...
- A tree breaks due to a storm and the top touches the ground 30 meters away from its base, making a 30-degree angle with the ground. What was the height of ...
- In the village of Hazelton, there was a totem pole 50 m high of which the lower 24 m was carved. According to a clue the treasure was hidden at a point on ...
- Now a chord of a circle is such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the center is.
- At the foot of the Lighthouse, the elevation of its top is 45⁰. A Bird after flying 8 km towards the building up a slope of 30⁰ inclinations, the elevation...
- The angle of depression of a point on the ground as seen from the top of a tower, 20 feet high, is 45°. Find the distance of the point on the ground from t...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)