An 11 m tall sign cast a 19 m shadow when the shadow of a boy standing next to it is 3 m long to the nearest tenth of a meter how tall is the boy?

Let x be the height of the boy and seeing that they both have the same tangent ratio so it must follow that:

x/3 = 11/19

Multiply both sides by 3 and then divide the product by 19:

x = 1.736842105

Therefore height of boy = 1.7 meters to the nearest tenth.