Question

If the ratio of the height of a tower and the length of its shadow is `sqrt(3): 1`, then the angle of elevation of the sun has measure

Options

• 45°

• 30°

• 90°

• 60°

Answer 1

60°

Explanation;

Hint:

Ratio of length of the tower : length of the shadow = `sqrt(3): 1`

Let the tower be `sqrt(3)` x and the shadow be x

tan C = `"AB"/"BC"`

⇒ tan C = `(sqrt(3)x)/x =sqrt(3)`

tan C = tan 60°

⇒ ∴ ∠C = 60°