17th of March 2017

A Fire at a building B is reported on telephones to 2 fire stations F1 & F2 10 km apart from each other on a straight road. F1 observes that the fire is at an angle of 60degreeto the road and F2 observes that it is at an angle of 45degree from it. Which station should send its team and how much will it have to travel?

Expert Please help me in solving this, I shall be thankful to you!!

P Sai Surya - CBSE - Class X

Friday, March 17, 2017 at 17:22:PM


Let AB be the building which is caught on a fire.
Given distance between two fire stations PQ = 10 km
Let Distance between building B and fire station Q be ‘x’ km.
Hence, PB = (10 – x) km
In right ΔABQ,

θ = 45°

Friday, March 17, 2017 at 17:36:PM