Question

Please help really important for my grade :(

Answer 1

Answer:

≈ 50.7 cm²

Step-by-step explanation:

The area (A) of Δ XYZ is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height ), that is

A = $\frac{1}{2}$ × XY × YZ

Calculate YZ using the tangent ratio in the right triangle

tan40° = $\frac{opposite}{adjacent}$ = $\frac{YZ}{XY}$ = $\frac{x}{11}$ ( multiply both sides by 11 )

11 × tan40° = x , that is

YZ ≈ 9.23 cm

Thus

A = $\frac{1}{2}$ × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )