Question

PLEASE HELPPPPPPPPPP

Answer 1

y = 25.20 m

Explanation:

By applying tangent rule in ΔABC,

tan(25)° =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

=
`(y)/(BC)`

BC =
`\frac{y}{\text{tan}(25)}` --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° =
`(y)/(BC+CD)`

tan(15)° =
`(y)/(BC+40)`

BC + 40 =
`\frac{y}{\text{tan}(15)}`

BC =
`\frac{y}{\text{tan}(15)}` - 40 -------(2)

From equation (1) and (2),

`\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40`

`\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40`

`y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40`

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.