Question

Side length z =

angle d =

Answer 1

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

`sin53 = (opposite side)/(hypotenuse) =(z)/(25)`

z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

`sind = (8)/(10) = (4)/(5)`

⇒
`d = sin^(-1) ((4)/(5) )`

⇒ d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°