A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters deep at the deep end. Find the angle of depression of the bottom of the pool.

Find the angle of depression of a swimming pool
=> has 20 meters long
=> has 12 meters wide
=> it is slanted at 1.3 meters depth
=> has 4 meters at the deep end.
Now, let’s start finding the tan:
=> tan x = oop/adj
=> tan x = 4 -1.3/20
=> 0.135
=> x = tan-1 0.135, this is equals to approximately 7.69 degrees.
Thus the angle of depression is approximately 7.69 degrees.

Answered by taskmasters | 2024-06-10

The angle of depression of the bottom of the swimming pool is found using trigonometric concepts. By treating the depth difference and the pool length as sides of a right triangle, and the pool bottom as the hypotenuse, applying the tangent function allows us to find the angle, which is approximately** 7.7 degrees.** ;

Answered by MinkaKelly | 2024-06-18

The angle of depression of the bottom of the swimming pool is calculated using the tangent function, which compares the depth difference (2.7 meters) to the length of the pool (20 meters). The resulting angle is approximately 7.69 degrees. This value allows us to understand how steeply the pool bottom slopes from the shallow end to the deep end.
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Answered by taskmasters | 2024-10-01