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1 answer:
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Answer:
- <u>14.4 mile</u>²
Explanation:
1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.
2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.
Hence, you must use Pythagoras to find that distance.
3. Pythagoras
- hypotenuse² = leg₁² + leg₂²
- hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²
, which is rounded to the neartest tenth of a mile.
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = , m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) =
cos(B) =
cos(30°) =
c = 16
Further we apply tangent rule,
tan(B) =
tan(30°) =
b = 8