Respuesta :

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]

⇒    [tex]d = sin^{-1} (\frac{4}{5} )[/tex]

⇒   d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°