a and b are two points , 78 m apart in a straight line stretch of a bank of a river c is an object on the opposite banks such that angle cab=58 and angle cba=45 calculate the distance of c from the bank ab
Answers
Given: a and b are two points , 78 m apart in a straight line stretch of a bank of a river.
c is an object on the opposite banks such that ∠cab=58° and ∠cba=45°
To find : calculate the distance of c from the bank ab
Solution:
cm ⊥ ab
cm = d = distance of c from the bank ab
∠cam = ∠cab = 58°
Tan ∠cam = cm/am
=> Tan 58° = d/am
=> am = d/Tan 58°
=> am = d/1.6
∠cbm = ∠cba = 45°
Tan ∠cbm = cm/bm
=> Tan 45° = d/bm
=> bm = d/Tan 45°
=> bm = d
am + bm = 78
=> d/1.6 + d = 78
=> d(2.6) = 78 * 1.6
=> d = 48
distance of c from the bank ab = 48 m
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