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2 years ago

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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 fr

om the base of the stand. Calculate the angle the beam makes with the pool surface.

1 answer:

Ede4ka [16]2 years ago

8 0

The angle the beam makes with the pool surface is 29.72°.

Step-by-step explanation:

<u>Data:</u>

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 = ?

<u>Use sin to solve</u>

Formula:

Tan (Angle) = $\frac{Opposite}{Base}$

Solution:

Sin (Angle) = $\frac{3}{7}$

Angle = $tan^{-1}$ (0.571)

Angle = 29.72°

Therefore, the angle the beam makes with the pool surface is 29.72°.

Keyword: Angle

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