Question

A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same

time, a flag pole casts a shadow 16 metres long. Find the height of the flag pole.​

Answer 1

Answer:

10 m

Step-by-step explanation:

Since the time is same, it means the angle of sun would be the same. so we need to find the angle using high tower and then use it to calculate the height of flag pole.

Let θ be the angle. let x be the height of flag pole

W.r.t. Tower, Tanθ = Opposite side to θ/Adjacent side to θ = 15/24.

W.r.r Flag pole, Tanθ = x/16.

x/16 = 15/24

x = 15/24 * 16 = 10 m.

So height of flag pole = 10 m.