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# Trigonometry question on heights and distances?

From two points A and B on the same side of a building, the angles of elevation fo the top of the buildings are 30 degrees and 60 degrees respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.

### 1 Answer

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- M3Lv 71 decade agoFavorite Answer
let the distance from A & B be x m & y m resply., then

10/x = tan 30° or x = 10/ tan 30°

similarly, y = 10 / tan 60°

thus distance between A & B = 10 /tan 30° + 10/tan 60°

= 23.094 => 23.09 m to 2 DP

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