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This practice exercise focuses on solving geometry problems involving right triangles and distance calculations. The first problem involves determining the length of a ladder leaning against a wall, with known distances from the foot of the ladder and the height it reaches. The second problem presents a scenario with a bird's flight path, asking for its western distance from a reference point. Both problems require proof for right triangle properties and careful calculation of segment lengths and unknown values.
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Concept Check A ladder is leaning against a wall. If the foot of the ladder is 2.1m from the wall and the ladder reaches 2.8m up the wall, how long is the ladder? Is this a right triangle? Show the proof.
Concept Check A bird flies for 85 km in a north-westerly direction until it is 84 km north of Calvin’s house. How far west of Calvin’s house is it? Is this a right triangle? Show the proof. Determine the length of the segment Find the value of L. Find the value of z . Find the value of y.