Question

Please answer it now in two minutes

Answer 1

Answer:

901.1 km²

Step-by-step explanation:

The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),

Where a and b, are two known sides of the triangle, and θ is the angle between both sides.

To find the area of ∆WXY, follow the steps below:

Step 1: Find XY using the law of sines.

m < W = 180 - (65 + 48) (sum of angles in a ∆)

W = 180 - (113) = 67°

X = 65°

WY = 49 km

XY = ?

$\frac{XY}{sin(W)} = \frac{WY}{sin(X)}$

$\frac{XY}{sin(67)} = \frac{49}{sin(65)}$

$\frac{XY}{0.92} = \frac{49}{0.91}$

Cross multiply

$XY*0.91 = 49*0.92$

Divide both sides by 0.91

$\frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91}$

$XY = 49.54$

XY ≈ 49.5

Step 2: find the area

Area = ½*WY*XY*sin(Y)

Area = ½*49*49.5*sin(48)

Area = ½*49*49.5*0.743

Area = 901.07325

Area = 901.1 km² (nearest tenth)