Discussion

If a tree casts a shadow of 10 meters when the angle of elevation of the sun is 60°, what is the height of the tree?

Answer: B

Let 'h' be the height of the tree and 's' be the length of the shadow. The angle of elevation is θ.

We have \(\tan \theta = \frac{\text{opposite}}{\text{adjacent}} = \frac{h}{s}\).

\(\tan 60° = \frac{h}{10}\)

Since \(\tan 60° = \sqrt{3}\), we have \(\sqrt{3} = \frac{h}{10}\).

h = 10√3 meters.

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