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.
- 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