Question

Please answer this question now

Answer 1

≈ 94.9 mi²

Explanation:

The area (A) of Δ WXY can be calculated as

A =
`(1)/(2)` × WY × WX × sinW

∠ W = 180° - (40 + 21)° = 180° - 61° = 119°

Calculate WX using the Sine rule, that is

`(11)/(sin21)` =
`(WX)/(sin40)` ( cross- multiply )

WX sin21° = 11 sin40° ( divide both sides by sin21° )

WX =
`(11sin40)/(sin21)` ≈ 19.73 mi , thus

A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )