Machine-translated by Google. Questions are authored in English.
Top

Discussion

When the sun is 30º above the horizontal, Find the length of shadow cast by a building 50m high.

  • A.50√3 m
  • B.70√3 m
  • C.90√3 m
  • D.110√3 m

Answer: A

The building is opposite the \( 30^{\circ} \) altitude and the shadow is the base.

\[ \tan 30^{\circ} = \frac{50}{s} \quad\Longrightarrow\quad s = \frac{50}{\tan 30^{\circ}} \]

\[ s = 50\sqrt{3} \approx 86.6 \text{ m} \]

A low sun casts a long shadow, so the answer must exceed the 50 m height - a quick check that the division went the right way round.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.