You just took off in your trusty Lockheed SR-71. It's a fine windless day. Your instruments indicate a true air speed (speed relative to the surrounding air) of 400 miles per hour and a climb rate (vertical speed) of 10,000 feet per minute. You figure that your flight path makes an angle of  degrees with the horizontal. (Enter a mathematical expression or a decimal approximation with at least one digit beyond the decimal point.) Hint: Draw a triangle showing your ascent and the distance along your flight path that you travel in one minute. Apply an inverse trig function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You just took off in your trusty Lockheed SR-71. It's a fine windless day. Your instruments indicate a true air speed (speed relative to the surrounding air) of 400 miles per hour and a climb rate (vertical speed) of 10,000 feet per minute. You figure that your flight path makes an angle of  degrees with the horizontal. (Enter a mathematical expression or a decimal approximation with at least one digit beyond the decimal point.)
Hint: Draw a triangle showing your ascent and the distance along your flight path that you travel in one minute. Apply an inverse trig function.

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