The height reached and length of ladder are 4.1 m and 4.4 m respectively.
Using trigonometric concept;
The height of the house which the ladder reaches is related thus ;
height = Tan(70) × 1.5
height = 4.12 ≈ 4.1 m
The height of the house reached by the ladder is 4.1 m
2.)
Using pythagoras rule:
length of ladder = hypotenus
hypotenus = √opposite² + adjacent²
Length of ladder = √4.1² + 1.5²
Length of ladder = √19.06 ≈ 4.365
Hence, the length of the ladder is 4.4m