Kai left her mansion and walked 7 miles south. Then, she turned and walked 5 miles to the east. How far is Kai from home?
1 answer:
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Answer:
<u>p = 21.4 cm</u>
<u>∠P = 44°</u>
Step-by-step explanation:
Apply the Pythagorean Theorem to solve for the length of p.
- p² + 21² = 30²
- p² = 900 - 441
- p² = 459
- p = √459
Now, take the inverse sine function to find angle P :
- sin⁻¹ (opposite side / hypotenuse)
- sin⁻¹ (21/30)
- sin⁻¹ (0.7)
(approximately)