Question

In the figure, AB = 15.8, 11.9 10.2, 8.4 inches and AC = 18.7, 15.5, 14.3, 13.1 inches.

Answer 1

Tan=oposite/adjacent=AB/BC
tan(40)=AB/10
10tan(40)=AB≈8.391
so AB=8.4

use pythagorean theorem to find the hypotnhuse

reemember
a²+b²=c²
so
10²+8.4²=c²
100+70.56=c²
170.56=c²
sqrt both sides
13.0599=c so 13.1


AB=8.4 inches
AC=13.1 inches