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 solve
Formula:
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: Angle
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