MATH SOLVE

3 months ago

Q:
# A spotlight on a 3.0 m stand shines on the surface of a swimming pool. The beam of light hits the water at a point 7.0 m away from the base of the stand. Calculate the angle the beam makes with the pool surface.

Accepted Solution

A:

The angle the beam makes with the pool surface is 29.72°.Step-by-step explanation:Data:The spotlight and surface of a swimming pool makes a 90 degree angle.Spotlight stand is 3m (Opposite)Beam of light hits the water 7m away from the base of light (base)Angle = ?Use sin to solveFormula:Tan (Angle) = [tex]\frac{Opposite}{Base}[/tex]Solution:Sin (Angle) = [tex]\frac{3}{7}[/tex]Angle = [tex]tan^{-1}[/tex] (0.571)Angle = 29.72°Therefore, the angle the beam makes with the pool surface is 29.72°.Keyword: AngleLearn more about angle at