Question

In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,

Answer 1

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  $\frac{Sin E}{e} =\frac{Sin F}{f}$

On substituting the values, we get

⇒  $\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}$

On applying cross multiplication, we get

⇒   $SinF=\frac{610\times Sin 70^{\circ}}{590}$

On substituting the values, we get

⇒            $=\frac{61\times 0.95969262}{59}$

⇒            $=\frac{57.3212499}{59}$

⇒            $=0.971546608$

now,

⇒  $F=Sin^{-1}(0.971546608)$

⇒      $=76^{\circ}$