Find the value of the height, h m, in the following diagram at which the tennis ball must be hit so that it will just pass over the net and land 5 meters away from the base of the net. Round to the nearest hundredth. Picture in comment

Question

anonymous · Answer

attachment

jim_thompson5910 · Answer

solve for h

h/2 = (10+5)/5

anonymous · Answer

my mind goes blank when i see these, i know how to solve i just cant figure out how to set up the problem. thank you lots!

jim_thompson5910 · Answer

you're welcome

the triangles are similar, so the corresponding sides form the same ratio...which sets up that equation above

jim_thompson5910 · Answer

tell me what you get for h

anonymous · Answer

i got 6

jim_thompson5910 · Answer

same here

anonymous · Answer

5h=2(10+5)
5h=20+10
5h=30
5/5=30/5
h=6
:)

jim_thompson5910 · Answer

basically, the larger triangle is 3 times bigger than the smaller (ie you multiply the smaller dimensions by 3 to get the corresponding dimensions for the larger triangle)

So that's why the answer is 2*3 = 6

jim_thompson5910 · Answer

very good, sorry just noticed you posted your work

nice job

jim_thompson5910 · Answer

not sure, but the site may be glitching (at least for me maybe?)