Question

His 13- foot ladder leans against the building at a point that is 11.3 feet above the ground. 

At what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground? Round your answer to the nearest tenth.

 ____________ feet 

Answer 1

Angle formed by the 13- foot ladder and the ground is $sin^{-1}(11.3/13)=60.4^0$

The height a 15-foot ladder would touch the building, $h/15=sin60.4^0$

$h=15\times sin60.4^0=13.0feet$