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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°
Solution
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°
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