A bridge in the shape of straight path, across a river ,makes an angle of 300 with the width of - Maths - Some Applications of Trigonometry

Question

A bridge in the shape of straight path, across a river ,makes an
angle of 300 with the width of the river If the length
of the bridge is 100 m then find the width of the two river

Varun.Rawat · Accepted Answer

Let AB is the width of the river Let AC be the bridge Now, AC = 100
mLet ∠CAB = 30°Now, in ∆ABC, we have cos A =
basehypotenuse⇒cos 30° = ABAC⇒32 = AB100⇒2AB =
1003⇒AB = 10032⇒AB = 503So, width of the river, AB = 503
m

A bridge in the shape of straight path, across a river ,makes an angle of 300 with the width of the river. If the length of the bridge is 100 m then find the width of the two river.

A bridge in the shape of straight path, across a river ,makes an angle of 30⁰ with the width of the river. If the length of the bridge is 100 m then find the width of the two river.