Question

Marco would like to hang a banner over his shoe store. He has two ladders and would like to know how high above the ground each ladder will allow him to place the banner. A 13- foot ladder leans against the building and touches it at a point that is 11.3 feet above the ground.
what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground? Make a sketch and round your answer to the nearest tenth

Answer 1

13 divided by 11.3 is 1.150442477876106. So 15 by 1.150442477876106 and you get 13.03846162772485. Just round it to the nearest tenth and you get 13.0.