A bear is sitting on an river bank 9 feet above the water. If a fish is in the water 14 feet from the base of the river bank, what is the angle of depression from the bear to the fish

A bear is sitting on an river bank 9 feet above the water If a fish is in the water 14 feet from the base of the river bank what is the angle of depression from class=

Respuesta :

The angle of depression from the bear to the fish is 32.7 degrees.

The situation forms a right angle triangle.

Right angle triangle

Right angle triangle are triangle that has one of its angle as 90 degrees. Therefore, the sides or angle can be found using trigonometric ratios.

The angle of depression can be found using trigonometric ratio.

Therefore, the opposite side of the triangle is 9ft and the adjacent side of the triangle is 14 ft.

tan ∅ = opposite / adjacent

tan  ∅ = 9 / 14

∅ = tan ⁻¹ 0.64285714285

∅ = 32.7352262721

∅ = 32.7°

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