Respuesta :

Answer:

6.64 ft²

Step-by-step explanation:

Given the above triangle with 2 sides of lengths 3.2 ft and 4.7 ft respectively, and angle 62° in between, the following formula can be used to calculate the area: ½*a*b*sin(θ).

Thus, a and b are the 2 given sides and θ is the included angle in between both sides.

Therefore,

Area = ½*3.2*4.7*sin(62)

Area = ½*15.04*0.88295

Area = ½*13.279568

Area = 6.639784

Area = 6.64 ft² (to the nearest hundredth)