Find the area of triangle ABC, given that angle B = 63 degrees, a = 40ft and c = 47ft

Question

Can someone explain and provide Ana answer with work please? I’m really lost thank you!

Answer 1

The area of a triangle is (1/2) of the product of two sides of the triangle times the sin of the angle between them.

To see why, draw a triangle and draw the altitude to one side and call it h.

Use the sin to express h as a function of one side and the angle. Substitute this into the familar formula for the area of a triangle.