Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The perimeter of a triangle is the sum of the length of their three sides
so
where
a,b,c are the length sides of the triangle
In this problem we have
substitute and solve for the missing length
Opposites are the same difference from zero!
180 = 3x + 5x + 2x +5
180 = 10x + 5
175 = 10x
x = 17.5
180 is how many degrees in a triangle
Height covered by the plane=h= 500 feet
Distance covered by the plane along the ground=d= 2 mile
Now, convert the mile into feet,
1 mile = 5280 feet
2 mile = 10560 feet
Now, use the formula
h= d tanθ
tanθ= h/d
tanθ= 500/10560
tanθ= 25/528
Take the tan⁻¹ on both side,
θ= tan⁻¹(25/528)
θ =2.71°
Area is base times height, so take the 12 and 16 and multiply them, you will get 192 which is your answer
