A ladder rests against a house on one side of street.The angle of elevation of the top of the ladder is 60°.the ladder is turned over to rest against a house on the other side of the street and the elevation now becomes 42°50'.if the ladder is 40 m long find the breadth of the street.
Answers
Given : A ladder rests against a house on one side of street.
The angle of elevation of the top of the ladder is 60°
.the ladder is turned over to rest against a house on the other side of the street and the elevation now becomes 42°50'
Ladder is 40 m long
To Find : breadth of the street.
Solution:
Cos 60° = Horizontal Distance from House / Ladder length
=> 1/2 = Horizontal Distance from House / 40
=> Horizontal Distance from House = 20 m
Cos 42°50' = Horizontal Distance from other House / Ladder length
=> 0.733 = Horizontal Distance from other House/40
=> Horizontal Distance from other House = 29.33 m
breadth of the street. 20 + 29.33 m
= 49.33 m
breadth of the street. = 49.33 m
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