Question

Find XZ and the area of △WXY.

Answer 1

XY = 7.5 cm

Area = 105 cm²

Explanation:

First, let us use the sin Θ to find the value of XY.

Sin Θ = Opposite ÷ Hypotenuse

Sin 43 = XY ÷ 11

0.6819 = XY ÷ 11

0.6819 × 11 = XY

7.5 cm = XY

The formula to find the area of the triangle is:

`\sf Area=(1)/(2)*base*height\\\\\sf Area=(1)/(2)*28\:cm\:*7.5\\\\Area=105\:cm^2`