| The value of the height 'h' in the adjoining figure is, at which the tennis ball must be hit, so that it will just pass over the net and land 6 m away from the base of the net. |
 |
A) 3.6m
B) 3m
C) 2.7m
D) 0.27m
Correct Answer: C
Solution :
| Since, the height h is measured vertically, so \[\angle EDA\] is a right angle. We assume that the net (i.e. CB) is vertical. |
| Here, \[\Delta ADE\] and \[\Delta ABC\] are similar |
| [by AA similarity criterion] |
| \[\therefore \,\,\,\,\frac{DE}{BC}=\frac{AD}{AB}\] |
| [since, corresponding sides of similar triangles are proportional] |
| \[\Rightarrow \,\,\,\,\frac{h}{0.9}=\frac{18}{6}\Rightarrow \,\,\frac{h}{0.9}=3\] |
| \[\Rightarrow \,\,\,\,h=0.9\times 3=2.7\,\,m\] |
| Hence, the height at which the ball should be hit, is 2.7 m. |
You need to login to perform this action.
You will be redirected in
3 sec
