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Questionrunner's total displacement? dirane travel 2.5 km at an angle of 35∘35^{\circ} to the ground, then changes the mand travels 5.2 km at an angle of 22∘22^{\circ} to the ground. What is
3. A
A tiger trainer in a zoo runs 8.0 m north, turns 35∘35^{\circ} east of north, and runs 3.5 m . Then, after waiting for the tiger to come near, the trainer turns due east and runs 5.0 m to get the tiger in the cage. What is the trainer's total displacement?

Studdy Solution
Calculate the numerical values: - Magnitude: (10.8672)2+(7.0076)2≈12.87 m \sqrt{(10.8672)^2 + (7.0076)^2} \approx 12.87 \, \text{m} - Direction: tan⁡−1(7.007610.8672)≈32.5∘ \tan^{-1}\left(\frac{7.0076}{10.8672}\right) \approx 32.5^\circ east of north
The trainer's total displacement is approximately 12.87 m 12.87 \, \text{m} at an angle of 32.5∘ 32.5^\circ east of north.

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