7th Class
Mathematics
The Triangle and its Properties
Question Bank
Triangles
question_answer
The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, what is the actual height of the tree?
A) \[20\,m\]
B) \[25\,m\]
C) \[30\,m\]
D) \[17\,m\]
Correct Answer:
B
Solution :
Since \[\Delta ABC\] is right angled, \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] \[\Rightarrow \] \[A{{C}^{2}}={{8}^{2}}+{{15}^{2}}=289\] \[\Rightarrow \] \[AC=\sqrt{289}=17\,m\] \[\therefore \] Actual length of tree \[=AB+AC=25m\]