Question

Asurveyor standing at anoties two objects B and C on the opposite side of canal.The object are 120 m apart.If the angle of sight b/n the object is 37degre how wide is the canale

Answer 1

159.25 meters

Explanation:

Using the solution diagram attached ;

From Trigonometric relation, the width, w of the canal can be obtained using :

Tanθ = opposite / Adjacent

Tan 37 = 120 / w

w * tan 37 = 120

w = 120 / tan 37

w = 159.24537 meters

Hence, width of canal is 159.25 meters