Heights and distances

Geometry Level 3

Find the angle of elevation of sun when the length of the shadow is 1 3 \dfrac{1}{\sqrt 3} times the height of the pole.

3 0 ∘ 30^\circ 6 0 ∘ 60^\circ 4 5 ∘ 45^\circ

Vishwathiga Jayasankar by vishwathiga jayasankar , 20, India

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1 solution

  • Let us consider the angle of elevation as A
  • It is given that the length of shadow is 1 s q r t ( 3 ) \frac{1}{sqrt(3)} times the height of pole.
  • So,let's consider
  • Height of pole = x x

  • Length of shadow = \(\frac{1}{sqrt(3)} )x

  • tan(A)= x 1 / s q r t ( 3 ) x \frac{x}{1/sqrt(3)x}

  • tan(A)=sqrt(3)
  • A = 60 d e g r e e s A=60 degrees
1 Helpful 0 Interesting 0 Brilliant 0 Confused

The problem should specify that the pole is vertical.

Marta Reece - 3 years ago

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