Answer:
The angle between the base an a leg is 78.463° or 1.369 radians.
Step-by-step explanation:
We have an isosceles triangule with 2 sides of 10 in. and the other side of 4 in. We have to calculate one of the angles between the base (4 in.) and a leg (10 in.)
If we divide the triangle in half, we came with 2 rectangule triangles. We can use trigonometry relationships to calculate the angle.
We can relate the leg and the base as:
[tex]L\cdot cos(\alpha)=B/2\\\\cos(\alpha)=B/(2L)=4/(2*10)=0.2\\\\\alpha=arc\, cos(0.2)=1.369\,rad=78.463^{\circ}[/tex]
