Question

From a point on a bridge across a river the angles of depression of the bank on opposite side of the river are 300 and 450. If the bridge is at a height of 3m from the banks, find the width of the river.​

Answer 1

Answer:

This is your answer.............

Answer 2

Answer:

Step-by-step explanation:

In the figure above ↑↑

A and B represent points on the banks on opposite sides of River.

So, AB is width.

Height of brigde, DP = 3m

Now,

AB = AD + DB

In right triangle ABD, Angle A = 30°

So,

tan30° = PD/AD

In triangle PBD, Angle B = 45°

So BD = PD = 3m

Now,

AB = DB + AD

Hence, The width of river is:

HOPE IT HELPED ^_^