Question

PLEASE HELPPPPPPPPPP

Answer 1

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

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

             = $\frac{y}{BC}$

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

Now we apply tangent rule in ΔABD,

tan(15)° = $\frac{y}{BC+CD}$

tan(15)° = $\frac{y}{BC+40}$

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.