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Katena32 [7]
3 years ago
13

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.
Mathematics
1 answer:
Ede4ka [16]3 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

Learn more about angle at

  • brainly.com/question/4354581
  • brainly.com/question/4767370

#LearnwithBrainly

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