A farmer wishes to fence a field in the form of a right triangle. If one angle of the triangle is 43.2 degrees and the hypotenuse is 200 yd., find the amount of fencing needed.

Answer 1

200sin43.2 = 136.92

200cos43.2 =145.79

136.92

+145.79

+ 200

=482.71 yards of fencing needed

by the Pythagorean Theorem

136.92^2 + 145.79^2 = 200^2

about 18,747.09 + 21,254.72= 40,000

Answer 2

Given, AC = 200 yards.

Setting up trig ratios,

Sin (43.2°) = AB/AC

0.68 = AB/200

AB = 0.68 * 200

= 136 yards

Cos (43.2°) = BC/AC

0.73 = BC/200

BC = 0.73 * 200

= 146 yards

Amount of fencing = AB + BC + AC

= 136 + 146 + 200

= 482 yards