Question

A rectangular swimming pool is 16 ft wide and 34 ft long. Determine how far it is to swim diagonally across the pool. Round your answer to the nearest tenth A 37.6 ft B 38.4 ft C 11 D 138 ft

Answer 1

37.6 ft

Step-by-step explanation

First, let us make a sketch of the problem:

We see that the diagonal of the swimming pool bisects the pool into two right angled triangles.

Note: D represents the diagonal of the swimming pool

Therefore, to find how far it is to swim diagonally across the pool, we have to find the length of the diagonal of the pool using Pythagors Rule:

`\begin{gathered} D^2=34^2+16^2 \\ D^2\text{ = 1156 + 256} \\ D^2\text{ = 1412} \\ D\text{ = }\sqrt[]{1412} \\ D\text{ }\cong37.6ft\text{ } \end{gathered}`

That is how far it is to swim diagonally across the pool.