find the depth of the water from the pool surface to the bottom of the deep end of the pool

Question

A swimming pool is 35 feet long and 15 feet wide. This pool has a beach entry which means that the bottom of the pool is a steady gradual slant. The water depth increases with an angle of depression of 12.9(degrees) towards the deep end. Find the depth of the water from the deep end of the pool.

 

diagram (be sure to label) 

 

 

 

 

 

 

 

 

 equation and solve:

Answer 1

We can think of the pool as a triangle, with one side of 35', and an angle of 12.9^o

 

we want to calculate the height of the side opposite the angle

 

we will use the tangent function which is that the tangent of an angle = opposite/adjacent

 

let x = the height of the opposite side

so tan 12.9^o = x/35'

 

0.229 • 35' = x

 

x = 8.0'