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The distance from.Amelia to the top of the tower is; 100ft

Trigonometric identities in Right triangles

According to the question;

  • The height of the tower is; 50ft.

The angle subtended by Amelia's position and the top of the tower is; ,30°

Hence, from Trigonometric identities;

  • Sin 30° = 50/x

Hence, x = 50/sin30°

  • x = 50/0.5

  • x = 100 ft.

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