Question

A rectangular swimming pool has a length of 50 m
and a breadth of 30 m. During a swimming proficiency
test, Ethan has to swim from one corner of the pool
to the opposite corner. Find the distance Ethan has
to swim.
​

Answer 1

Answer:

60 m

Step-by-step explanation:

by hypotenuse angle theorem,

x^2= (length)^2 + (breath)^2

=2500+900

=3600

=√3600

x = 60

distance= 60m

Answer 2

Answer:

Ethan has to swim 58.31 m (approx)

Step-by-step explanation:

Dimensions of the rectangle = 50 m and 30 m.

Ethan has to swim from one corner of the pool to the opposite corner.

Refer the attachment for better understanding.

Ethan has to swim from point B to D. The pool is a rectangle, which means A, B and D form ∆ABD.

In ∆ ABD :

• Hypothenuse = BD = y
• Base = AB = 50 m
• Height = AD = 30 m

Solving according to Pythagoras theorem,

★ (Hypothenuse)² = (Base)² + (Height)²

$\longrightarrow$ (y)² = (50)² + (30)²

$\longrightarrow$ y² = 2500 + 900

$\longrightarrow$ y² = 3400

$\longrightarrow$ y = $\sf{\sqrt{3400}}$

$\longrightarrow$ y ≈ 58.31 m

BD = 58.31 m.

Therefore, Ethan has to swim 58.31 m (approx)