Question

A 4.5 m long pipe rests against a 2 m high

tank. One end of the pipe is on the ground
3 m from the base of the tank. How much
of the pipe overhangs the tank?
4.5 m
Bm
3 m


help me please lol

Answer 1

0.89 m is the answer

Explanation:

the wall, the ground and portion of pipe form a right angle triangle with pipe portion being the hypotenuse.

for a right triangle

`{hypotenuse}^(2) = {base}^(2) + {height}^(2)`

here we have base = 3m and height = 2m.

thus

`{h}^(2) = {3}^(2) + {2 }^(2) \\ = 9 + 4 \\ = 13 \\ h = √(13)`

portion of pipe overhanging = 4.5 - sqrt (13)

= 4.5 - 3.61

= 0.89 m