Problema Solution
The area of a triangle is 216.58 sq. meters. One side is 48.7 meters long and makes an angle of 36 degrees 40 minutes with another side. How long is that side of the triangle?
Answer provided by our tutors
let
a = 48.7 m is one side of the triangle
b = the other sides of the triangle that makes angle of 36 degrees 40 minutes with a
A = 216.58 sq. meters the are of the triangle
36 degrees 40 min = 36 + 40/60 degrees = 100/3 degrees
A = (1/2)(ab)(sin (100/3))
(1/2)(ab)(sin (100/3)) = A
(1/2)(48.7*b)(sin (100/3)) = 216.58
by calculation we find:
b = 16.19 m
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that side of the triangle is 16.19 meters long.