# Slope of the pool

Calculate slope (rise:run) of the bottom of swimming pool long 30 m. Water depth at beginning of pool is 1.13 m (for children) and depth at end is 1.84 m (for swimmers). Slope express as percentage and as angle in degrees.

Result

p =  2.4 %
α =  1.4 °

#### Solution:

$p = \dfrac{ 1.84-1.13}{ 30} \cdot 100 = 2.4 \\%$
$\tan \alpha = \dfrac{ 1.84-1.13}{ 30} \ \\ \tan \alpha = 0.0237 \ \\ \alpha = \arctan 0.0237 = 1.4 ^\circ = 1^\circ 21'21"$

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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Math student
(y2-y1) /  (x2-x1)   0.73/ (10-10??)

Math student
10-0
x2 = 0?

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