At the world reown Wildcat Cafe, the dinner specials include combinations of tacos and fajitas. The number one special offers th
ree tacos and two fajitas for $9.50. The number two special offers two tacos and four fajitas for $13. What is the cost of each fajita and each taco?
1 answer:
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Answer:
208.8 mi
Step-by-step explanation:
Form a triangle with the centre of the Earth (C) at one point, the horizon (H) as a second point, and the top of Mt. Everest (O) as the third (see diagram).
Let
r = Earth’s radius
h = height of Mt Everest
d = distance to horizon
∆CHO is a right triangle.
d² + r² = (r+h)²
d² + 3959² = (3959+5.5)²
d² + 15 673 681 = 3964.5²
d² + 15 673 681 = 15 717 260 Subtract 15 673 681 from each side
d² = 43 579 Take the square root of each side
d = 208.8 mi
The distance from the top of Mt Everest to the horizon is 208.8 mi.
