A 8 , m long bamboo tree standing erect on th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The total height of the bamboo tree is $8 \, m$.It breaks at a height of $3 \, m$ from the ground.Let the total height be $H = 8 \, m$ and the hei

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) The total height of the bamboo tree is $8 \, m$.It breaks at a height of $3 \, m$ from the ground.Let the total height be $H = 8 \, m$ and the height at which it breaks be $h = 3 \, m$.The length of the broken part (hypotenuse of the right-angled triangle formed) is $L = H - h = 8 - 3 = 5 \, m$.The height of the remaining trunk is $h = 3 \, m$.Let $x$ be the distance between the top of the tree on the ground and the base of the tree.According to the Pythagorean theorem in the right-angled triangle formed:$x^2 + h^2 = L^2$$x^2 + 3^2 = 5^2$$x^2 + 9 = 25$$x^2 = 25 - 9 = 16$$x = \sqrt{16} = 4 \, m$.Thus,the distance is $4 \, m$.

$A$ $8 \, m$ long bamboo tree standing erect on the ground breaks at the height of $3 \, m$ from the ground. The broken part of the tree remains attached to the trunk. Find the distance in $m$ between the top of the tree on the ground and the base of the tree.

Similar Questions

In $\Delta ABC$,$A-M-B$,$A-N-C$ and $\overline{MN} \parallel \overline{BC}$. If $\frac{AM}{MB} = \frac{4}{5}$ and $NC = 2.5$,find $AN$.

In $\Delta PQR$,$m \angle Q = 90^{\circ}$ and $\overline{QM}$ is an altitude to the hypotenuse $PR$. If $QR = 9$ and $PR = 13.5$,find $RM$.

In $\Delta PQR$,$Z$,$X$,and $Y$ are the midpoints of $\overline{PQ}$,$\overline{QR}$,and $\overline{PR}$ respectively. Prove that the correspondence $PQR \leftrightarrow XYZ$ is a similarity.

It is given that $\triangle ABC \sim \triangle DFE$,$\angle A = 30^{\circ}$,$\angle C = 50^{\circ}$,$AB = 5 \, cm$,$AC = 8 \, cm$ and $DF = 7.5 \, cm$. Then,the following is true:

In $\Delta ABC$,$m \angle C = 90^\circ$,$AB = 12.5$ and $BC = 12$. Find $AC$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module