Question

A bridge across a river makes an angle of 30 degrees with the river bank. if the length of the bridge across the river is 98 m, then the width of the river is-​

Answer 1

Hi,

Here is your answer

Given:

Angle bridge makes with the river bank=30°

Length of the bridge=AC=98m

To Find:

Width of the river=BC

Solution:

Consider triangle ABC

Cos 30=adjacent/hypotenuse

Cos 30=BC/AC

Cos 30=BC/98

Cos30×98=BC

BC=√3/2×98

BC=49√3m

Hence, the width of the river is 49√3m

Hope this helps you.