A satellite orbiting the earth can be viewed from two cities simultaneously. The two cities are 300 miles apart. At an instant when the satellite is overhead both cities, its angle of elevation is from the first city and from the second. What is its distance from the first city, to the nearest mile?

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A satellite orbiting the earth can be viewed from two cities simultaneously. The two cities are 300 miles apart. At an instant when the satellite is overhead both cities, its angle of elevation is<br><br><img src='https://www.fatskills.com/images2/GradExams/22E9FC6E-D9FE-4D12-9B22-708AFA922A66.png' height='15' width='27'/> from the first city and<br><br><img src='https://www.fatskills.com/images2/GradExams/93B9B72C-7DBE-45C3-86B5-22AAE0980894.png' height='15' width='26'/> from the second. What is its distance from the first city, to the nearest mile?