✓ Board-verified
Mathematics · 2022 · 3 marks
CBSE 2022 · Region 3 · Set 2 · Q7
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with it. The height of the…
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of $\displaystyle 30$° with it. The height of the breaking point from the ground is $\displaystyle 2$ m . Find the total height of the tree.
Marking-scheme solution
Let \(\displaystyle h\) be the height of broken part
\[\begin{aligned}
& \sin 30^{\circ}=\frac{1}{2}=\frac{2}{h} \\
& \Rightarrow h=4
\end{aligned}
\]
Total height of tree \(\displaystyle =4+2=6 \mathrm{~m}\)All Some Applications of Trigonometry questions2022 question paperNCERT solutions: Some Applications of TrigonometryPractice Some Applications of Trigonometry →
More from Some Applications of Trigonometry
- From the top of an 8 m high building, the angle of elevation of the top of a cable tower is 60^° and the angle of depression of its foot is 45^°.…2022
- From a point on the ground, which is 30 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be 60°.…2024
- From the top of a 45 m high light house, the angles of depression of two ships, on the opposite side of it, are observed to be 30° and 60°. If the…2024
- The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of…2022
- A boy standing on a horizontal plane is flying a kite with a string of length 60 m, at an angle of elevation of 30°. Another boy standing on the roof…2026
- Two boats are sailing in the sea 80 m apart from each other towards a cliff AB. The angles of depression of the boats from the top of the cliff are…2022
- The angle of elevation of the top of a building from a point A, on the ground, is 30°. On moving a distance of 24 m towards its base to the point B,…2026
- A wire is attached from a point A on the ground to the top of a pole BC, making an angle of elevation as 60^°. If AB=5 √3 m, then length of the wire…2026
CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.