Question

I’m really stuck on this question can someone please help and try explain it please

Answer 1

Solution:

Hence, answer is

X=12m

Answer 2

12 m

Explanation:

Area of a triangle

`\boxed{ A=(1)/(2)ab \sin C}`

Where:

• A is the area.
• C is the angle.
• a and b are the sides enclosing the angle.

Given:

• A = 42 m²
• a = 14 m
• b = x
• C = 30°

Substitute the given values into the formula and solve for x:

`\begin{aligned}A & = (1)/(2)ab \sin C\\\\\implies 42 & = (1)/(2)(14)(x) \sin (30^(\circ))\\42& =7x\sin (30^(\circ))\\42 & = 7x\left((1)/(2)\right)\\42 & = 3.5x\\x& = (42)/(3.5)\\x & =12.0 \sf \;m\end{aligned}`

Therefore, the length of x is 12 m.