Answer:
[tex]13.834\ units[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\A\ right\ triangle\ with\ one\ of\ it's\ angles\ as\ 70,\ and\ the\ hypotenuse\ as\ x\\ and\ the\ height\ as\ 13.\\Now,\\We\ know\ that,\\With\ respect\ to\ any\ angle\ A,\\sin A=\frac{Opposite}{Hypotenuse}\\ Hence,\\Here,\\sin\ 70=\frac{Side\ opposite\ to\ 70}{Side\ opposite\ to\ 90} \\ sin\ 70=\frac{13}{x}\\ Since\ sin\ 70\ degrees \approx 0.94,\\0.94=\frac{13}{x}\\ Hence,\\We\ finally\ get:\\x=\frac{13}{0.94} =13.834\ units[/tex]
