Answer:
Area = 5 sq ft
Step-by-step explanation:
Area of a Triangle with Side angle side method is given by the formula given as under
[tex]\ Area=\frac{bc \sin A}{2}[/tex]
In our problem we are given that
[tex]A= 42[/tex]◦
[tex]\sin 42=0.6691[/tex]
[tex]b=3 \ feet[/tex]
[tex]c=5 \ feet[/tex]
Putting these values in the formula we get
[tex]\ Area=\frac{3 \times 5 \sin 42}{2}[/tex]
[tex]\ Area=\frac{15 \times 0.6691}{2}[/tex]
[tex]\Area=5.01[/tex]
Hence Area of the Triangle is 5 Sq Ft
