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9966 [12]
3 years ago
10

Please help really important for my grade :(

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

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 )

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