Question

Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. the angle between the sides of the triangle is 35. to the nearest hundreth, find the search area

a. 2.08 mi^2
b. 2.97 mi^2
c. 1.49 mi^2
d. 1.04 mi^2

Answer 1

When you know one side, the included angle and the other side you can use this triangle area formula:
Area = ½ • side 1 • sine (A) • side 2
Area = .5*2.75*sine(35)*1.32
Area = .5*2.75*0.57358*1.32
Area = 1.0410477 square miles