Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
The components are Nx= Ncosθ and Ny= -Nsinθ
<h3>What is a Vector?</h3>We know that the vector quantities are those quantities that have magnitude as well as direction.
Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.
A vector component is the product of its length and the component angle.
Generally, F sinθ is the vertical component and F cosθ is the horizontal component,
Now, from the diagram the horizontal component of vector 'r' is
Nx= Ncosθ
and, the vertical component will be
Ny= -Nsinθ
this is in the opposite direction
Learn more about vectors here:
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